Let time Y in years present the time before a major repair is required for a certain washing machine. Assume Y follows exponential distribution with a mean 5 years. (a) The machine is considered a bargain if it is unlikely to require a major repair before the sixth year. What's the probability that no major repair is needed before the sixth year? (b) What is the probability that a major repair is required in the first year? (c) Suppose after the repair, the washing machine is considered as a "new" one. It may require another major repair after some random time, which follows the same exponential distribution. Given a time duration of 10 years, what is the probability that this washing machine is repaired for twice?

Answers

Answer 1

(a) The probability of no major repair before the sixth year is [tex]1 - e^(-6/5)[/tex].(b) The probability of a major repair in the first year is [tex](1/5) * e^(-1/5)[/tex].

(c) The probability of the washing machine being repaired twice within a 10-year duration is [tex](1/5) * e^(-5/5)[/tex].

(a) To find the probability that no major repair is needed before the sixth year, we need to calculate the cumulative distribution function (CDF) of the exponential distribution with a mean of 5 years at the sixth year.

The formula for the CDF of the exponential distribution is given by[tex]P(Y \leq y) = 1 - e^(-y/\mu)[/tex], where y is the time duration and μ is the mean.

In this case, y = 6 years and μ = 5 years. Plugging these values into the formula, we get:

[tex]P(Y \leq 6) = 1 - e^(-6/5)[/tex]

(b) To find the probability that a major repair is required in the first year, we need to calculate the probability density function (PDF) of the exponential distribution at the first year. The PDF of the exponential distribution is given by[tex]f(y) = (1/\mu) * e^(-y/\mu).[/tex]

In this case, y = 1 year and μ = 5 years. Plugging these values into the formula, we get:

[tex]f(1) = (1/5) * e^(-1/5)[/tex]

(c) Given a time duration of 10 years, we want to find the probability that the washing machine is repaired twice.

Since the time between repairs also follows an exponential distribution with a mean of 5 years, we can use the memorylessness property of the exponential distribution.

The probability that the washing machine is repaired twice within a 10-year duration is equal to the probability of a major repair occurring in the first 5 years, which can be calculated using the PDF of the exponential distribution.

In this case, y = 5 years and μ = 5 years. Plugging these values into the formula, we get:

[tex]f(5) = (1/5) * e^(-5/5)[/tex]

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Related Questions

make a list of things needed to make our life happy along with separate lists of basic needs and additional needs​

Answers

Answer:

No materialistic things can make life happy but the love, care, empathy, good relations etc. can.

Explanation:

Three basic needs of life - food, shelter, clothing

Additional needs of life -  Materialistic requirements such as house, money, car, lavish items such as jwelery, phone etc.

Things needed to make life happy -

love

Praising small efforts of each other

Empathy

Forgiveness

care etc.

Based on what you learned about what children do with their baby teeth in other countries, what would have happened differently if Oscar lived in Argentina?
a) He would have thrown his baby teeth on the roof.
b) He would have buried his baby teeth in the garden.
c) He would have kept his baby teeth as a memento.
d) He would have given his baby teeth to the tooth fairy.

Answers

If Oscar lived in Argentina, he would have thrown his baby teeth on the roof. In Argentina, it is a tradition to throw baby teeth on the roof . So, option a is the right choice.

In Argentina, it is a common tradition for children to throw their baby teeth on the roof and make a wish for their permanent teeth to grow strong and healthy. This tradition is believed to have originated from the Guarani people, an indigenous group in South America.

Throwing baby teeth on the roof is just one of many traditions that exist around the world for what children do with their baby teeth. Other traditions include burying the teeth, keeping them as a memento, or giving them to the tooth fairy.

Understanding these different traditions can help us appreciate the diversity of cultures around the world and the unique ways in which people celebrate important milestones in their lives. It also highlights the importance of respecting and preserving cultural traditions as they are passed down from generation to generation.

The right answer is option a. He would have thrown his baby teeth on the roof.

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please help!!!

according to the gallup poll of 2014,______.

A. more young people who identify with a party are democratic rather than republican.

B. more young people who identify with a party are republican rather than democratic.

C. more educated voters are democratic rather than republican.

D. more educated voters are republican rather than democratic.

Answers

d

Explanation:

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Which of the following is an example of human capital in an economy?

A. A department store
B. A fashion designer
C. A shoe factory
D. A sewing machine
please help♡​

Answers

Answer:

The option that is an example of human capital in an economy is:

B. A fashion designer

Explanation:

Human capital refers to non-tangible assets. It is something valued by employers but that cannot be listed on a balance sheet, for example. It usually refers to education and expertise, but it can also refer to qualities such as punctuality, politeness, communication skills, and so on. Having that in mind, we can choose letter B as the option that is an example of human capital. A fashion designer will have a certain kind of expertise, training, and education that can be valuable to an employer, besides the qualities he or she can have as a person.

being a ___________, paul appealed the charges against him to caesar and was sent to rome.

Answers

Being a Roman citizen, Paul appealed the charges against him to Caesar and was sent to Rome.

As a Roman citizen, Paul exercised his right to appeal his case to Caesar, the Roman Emperor, in order to receive a fair trial. Paul, also known as the apostle Paul or Saint Paul, was a significant figure in early Christianity. He faced opposition and persecution for his teachings and missionary work.

The specific incident you are referring to is mentioned in the New Testament of the Bible, in the book of Acts. Paul was arrested in Jerusalem on false accusations brought by some Jewish religious leaders. As a Roman citizen, he used his legal privilege to appeal his case to Caesar, invoking his right to be tried in the highest court of the Roman Empire.

As a result, Paul was transported to Rome to appear before Caesar for his trial. This journey to Rome is described in detail in the book of Acts, where Paul faced various challenges, including a shipwreck, before eventually reaching Rome.

By appealing to Caesar, Paul sought both justice and an opportunity to spread the message of Christianity in the heart of the Roman Empire. His imprisonment and subsequent interactions in Rome played a significant role in the dissemination of his teachings and the growth of early Christianity.

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How can a bill become law if the governor has vetoed it? Check all that apply.

Answers

Answer:

If the governor neither vetoes nor signs the bill within 10 days, the bill becomes a law.

Explanation: A two-thirds majority in each house is required to override the veto.

Answer: B. The veto can be overridden with a two-thirds-majority vote by both houses.

C. The bill can be return to the legislature for adjustments or changes before resubmission.

Explanation:

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Why was Rock and Roll important in the 1950s?

Answers

Answer:

That was one of their biggest hits back then

Multiple Choice government-sponsored equipment-based nonprofit supplementary for-profit An airline employee that is ensuring passengers have no difficulties with seating, meals, baggage, transfers, or rebookings is exhibiting which dimension of service quality? Multiple Choice credibility O assurance O reliability O empathy О tangibility

Answers

Empathy is a quality of service that the airline staff is displaying. The ability of the service provider to comprehend and meet the wants and problems of the clients in a considerate and sympathetic manner is referred to as empathy.

By taking care of the customers' demands for seating, meals, bags, transfers, and rebookings, the staff in this situation is ensuring that they have a pleasant experience. This involves a certain degree of empathy and attention to each passenger's unique needs and worries.

In terms of service excellence, empathy refers to a service provider's capacity to comprehend and share the thoughts and viewpoints of their clients.

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Claude, a waiter at a popular restaurant, gives extra appetizers to his return customers because they often tip him more when he does. Claude’s technique relies on:_____________

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Claude, a waiter at a popular restaurant, gives extra appetizers to his return customers because they often tip him more when he does. Claude’s technique relies on positive reinforcement.

Positive reinforcement is a type of operant conditioning that rewards or reinforces a particular behavior, making it more likely that the desired behavior will be repeated in the future. Claude is motivated to give extra appetizers to his return customers because he has learned from experience that this behavior is likely to result in a higher tip. As a result, he continues to engage in this behavior in the hopes of getting more positive reinforcement from his customers.

In conclusion, Claude’s technique of giving extra appetizers to his return customers in order to receive higher tips is an example of positive reinforcement in action.

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According to the authors of your text, people are likely to quickly categorize people they have just met. This is due to people's reliance on______________.

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According to the authors of the text, people are likely to quickly categorize people they have just met due to their reliance on stereotypes.

Stereotypes are mental shortcuts or generalizations that individuals use to quickly categorize and make sense of the social world. When meeting someone for the first time, people often rely on preexisting stereotypes based on factors such as gender, race, age, or occupation to form initial impressions.

These stereotypes, although often oversimplified and inaccurate, can influence the perceptions and expectations people have about others. They can shape judgments, behaviors, and interactions, leading to biases and potentially impacting the way individuals are treated.

It is important to recognize the limitations of relying solely on stereotypes and strive for more nuanced and individualized understanding of others. By challenging stereotypes and engaging in open-mindedness, people can foster greater understanding, empathy, and fairness in their interactions with others.

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which of the following statements is most accurtate?transofomation leadership is highly correltated to job performance

Answers

Research has shown that group member resources such as personality characteristics like dominance and unconventionality tend to be positively related to group productivity and morale, option B is correct.

Research has actually shown that personality characteristics like dominance and unconventionality are not universally positively related to group productivity and morale. While some studies may suggest a positive relationship between certain personality traits and group performance, there is no consistent or universally applicable pattern.

The impact of individual personality characteristics on group performance is complex and can vary depending on various factors such as the nature of the task, group dynamics, and the specific context of the group, option B is correct.

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The complete question is:

1. Which of the following statements is incorrect regarding the major factors that determine group performance and satisfaction?

A. One example of an external condition imposed on a group would be the quality-improvement group at Boeing who has to live with Boeing’s corporate hiring criteria, budget constraints, and company policies.

B. Research has shown that group member resources such as personality characteristics like dominance and unconventionality tend to be positively related to group productivity and morale.

C. One disadvantage of group decision making, an important group process, is that members share responsibility, but the responsibility of any single member can be ambiguous.

D. Groups’ internal structure includes roles that are generally oriented toward either getting work done or keeping up group member morale.

explain how different developments in transportation have affected trade in the Midwest at different times in its history.

Answers

Answer:

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Explanation:

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Answers

Answer:

Last option

Explanation:

It is the most realistic option there is. HOPE THIS HELPS!

Factors (6) that led to the division of the kingdom of Israel after the death of king Solomon​

Answers

Answer:

wapwapwapwapwapwapwapwapwapwapwap

Explanation:

Discuss any 5 advantages and disadvantages of the intestate succession Law.​

Answers

Answer:

search up 5

Explanation:

just search 5 random ones

How are leaders chosen in South Asia?

Answers

Answer:Accommodation for speakers selected through the call for papers

Explanation:

functions, including working memory, inhibition, and shifting, increase as the child grows older, up to about age 15. a parallel increase in ____ speed accompanies this increase in capacity.

Answers

Functions, including working memory, inhibition, and shifting, increase as the child grows older, up to about age 15. A parallel increase in processing  speed accompanies this increase in capacity

Processing speed refers to the rate at which an individual can process and respond to information. It involves the speed of cognitive processes, such as attention, perception, and decision-making. As children develop and mature, their neural connections become more efficient, allowing for faster processing of information. The parallel increase in processing speed is closely related to the growth of cognitive functions. As these functions become more developed and sophisticated, the ability to process and integrate information becomes quicker and more efficient. This improvement in processing speed facilitates more complex cognitive tasks and enhances overall cognitive performance.

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43 POINTS

How did Germany attempt to repay its war debt after World War I? (4 points) A. By increasing agricultural yields and exports to Africa B. By switching to a gold standard to boost the economy C. Through production of consumer goods D. Through taxation primarily on the middle class

Answers

Answer:

uh

Explanation:

Does globalization promote or denote global health? Justify your answer with relevant arguments and suitable references. (Minimum 1000 words- with references)
from International Health Law point of view

Answers

Globalization has both promoted and impeded global health. It has facilitated information sharing and access to healthcare, but also spread unhealthy diets and smoking-related illnesses.

Globalization has had a complex impact on global health, with both positive and negative consequences. While it has facilitated the sharing of information and collaboration on health issues, it has also led to the spread of unhealthy diets and smoking-related illnesses.

However, globalization has also brought advancements in medical research and improved access to healthcare services and products. From an international health law perspective, it is crucial to mitigate the negative effects of globalization on health and promote policies that support global health.

This can be achieved through measures such as promoting healthy lifestyles, enhancing healthcare access, and preventing the spread of infectious diseases.

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which one of the following actions is prompted by the sound of an emergency alarm

Answers

The action prompted by the sound of an emergency alarm is typically evacuation or seeking safety. When individuals hear an emergency alarm, it serves as an auditory signal indicating a potential threat or danger.

The purpose of the alarm is to alert people and prompt them to take immediate action to protect themselves and others. In response to the alarm, individuals are expected to follow predetermined emergency procedures, such as evacuating a building, moving to designated safe areas, or following specific instructions provided by emergency personnel. The sound of an emergency alarm triggers a sense of urgency and serves as a clear signal for individuals to prioritize their safety and take appropriate actions in response to the potential emergency situation.

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Why is the family considered the basic unit of society? Explain

Answers

Answer:

It's True that Family is the basic unit of the Society.

Explanation:

The Sociologists are interested in the relationship between the institution of marriage and the institution of family because families are the most basic social unit upon which society is built, but also because marriage and family are linked to other social institutions such as the economy, government, and religion.

Essentially, Family is the Backbone of the Society.

Family is a socially recognized group (mostly joined by blood, marriage, cohabitation, or adoption) that forms an emotional connection among its members and that serves as an economic unit of society.

Sociologists identify different types of families based on how one enters into them.

A family orientation refers to the family into which a person is born.

A family of procreation describes one that is formed through marriage. These distinctions have cultural significance related to issues of lineage.

Therefore, It's True that Family is the basic unit of the Society.

Answer:

The family unit helps each member learn about and get used to social roles. Each member holds a specific function or social role in the family

Explanation:

What activities dominate Myanmar and Thailand?

Answers

Answer:

Both countries are strongly rooted by the Buddhism; it is the official religion of both. Buddhism is followed by 95% of Thailand's inhabitants. Approximately 18,000 Buddhist temples and 140,000 Buddhist priests can be found there. About 85% of Myanmar's population is Buddhist.

Explanation:

a basketball player has dribbled the ball so often that she doesn't have to think about it and instead can focus on where to pass the ball. the player dribbling the ball is an example of automaticity.

Answers

Automaticity refers to the ability to perform a task or skill with little or no conscious effort or attention.

When a basketball player has dribbled the ball so often that she no longer needs to think about it and instead can concentrate on where to pass the ball, she is an example of automaticity. Because the player has developed the ability to dribble the ball without consciously focusing on it, she can direct her attention to other aspects of the game.

This is an important skill for basketball players to develop because it allows them to make better decisions and react more quickly on the court.

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Which term is defined as foreign-eamed wages? obureaucracy , foreign aid, MIRAB economy, remittances​

Answers

Answer:

remittances

Explanation:

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Which term is defined as foreign-earned wages?

MIRAB economy

bureaucracy

remittances

foreign aid

Answer:

remittances

what would you like to do for the protection of child rights in the future​

Answers

Answer:

I would like to make sure that every child on this earth has a safe place to live, and a safe owner who is taking care of that child. No kid deserves to live on a street, or in an abusive household.

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Which of the following describes some of the ways in which settlers adapted to the environment of the Texas Plains?

A) They introduced wet-land farming and mining.

B) They grew cotton and shipped their crop by steamboat.

C) They built stone houses and relied on riverboat transportation.

D) They used barbed wire and adopted vaquero techniques of cattle herding.

Answers

The answer is A) they introduce wet-land farming and mining.

which thought is consistent with the thinking of someone who has social anxiety disorder?

Answers

Social anxiety disorder is a mental health condition characterized by intense fear and avoidance of social situations or activities.

An individual suffering from social anxiety disorder may exhibit the following thoughts:

Social anxiety disorder is a persistent and debilitating fear of social situations, characterized by an intense fear of being judged or scrutinized by others. People with social anxiety disorder often experience overwhelming self-consciousness and worry about the possibility of embarrassing themselves in front of others. They may also have fears of public speaking, meeting new people, or being in crowds.

Their thoughts may include:

- A persistent fear of social situations

- A preoccupation with worries about being judged or scrutinized

- A fear of being embarrassed or humiliated

- An avoidance of social situations

- A tendency to engage in safety behaviors (such as avoiding eye contact or rehearsing conversations beforehand) to alleviate anxiety these thoughts can lead to physical symptoms such as trembling, sweating, blushing, rapid heartbeat, or nausea. It is important to note that social anxiety disorder is a treatable condition, and individuals suffering from this disorder should seek professional help from a mental health professional.

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assuming there was abuse occurring prior to the death of yeardley love, hypothesize how it may have been difficult for a counselor to assess and identify this abuse.

Answers

We might speculate on the challenges a counselor may have had in evaluating and recognizing abuse before Yeardley Love's passing by taking into account a number of potential obstacles: Lack of physical proof, emotional manipulation, limited victim disclosure, the abuser's concealment, and limited information access

Senior members of the British royal family are called counsellors of state, and the monarch can grant or revoke these powers manipulation through letters patent issued under the Great Seal.

This is done to avoid delays or difficulties in the handling of public business in the event of a counsellor of state's illness (except in the case of total incapacity) or counsellor of state's intended or actual absence from the United Kingdom.

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Social traps are situations in which:Immersive Reader (2 Points) (A) Conflicting parties realize that they have shared goals, the attainment of which requires their mutual cooperation (B) Only one of two conflicting groups works on a mutual goal (C) Persons in conflict have similar, and generally negative view of each other (D) Persons pursue their self-interests and become caught in mutually destructive behavior (E) Two conflicting groups meet face-to-face in an effort to resolve their differences

Answers

Answer:

Persons pursue their self-interests and become caught in mutually destructive behavior.

Explanation:

Social Traps

This happens usually if people take decisions or actions that are instantly rewarding but indirectly punishing or inadvertently condemns self or other.

It is a situation in whereby individual choose self-interested behavior over beneficial cooperation. They are instances that looks like a good choice right now turns out to be the wrong choice for society in the long run.

Avoiding Social Trap through Education is by forming individuals about the longterm consequences and social traps and avoiding Social Trap through Rules/Laws is by create Rules/Laws to hinder individuals from doing the wrong thing.

The types of social traps are;

Sliding Reinforcer, Time Delay, Collective and Externality.

explain the effects of political and social factors on quality life

go away scammers ​

Answers

Answer:

Filters are a form of filter. The term "sociopolitical" refers to something that combines social and political elements. The topic of environmental protection is an example of something that is sociopolitical, since it is motivated by both societal views toward "going green" and government policy. adjectival phrase

Explanation:

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name the four methods used in this unit to create new events. on a elctricact calender Find the local maxima, local minima, and saddle points, if any, for the function z = 5x3 + 5xy + 4y2. (Use symbolic notation and fractions where needed. Give your answer as point coordinates in the form (*, *,*), (*, *, *)... Enter DNE if the points do not exist.) USE THE FOLLOWING INFORMATION FOR QUESTIONS 1, 2 AND 3. A partial listing of costs incurred at Rextech Corporation during September follows: 159 SUSA $81,000 Direct labor DL Advertising Selling Security - Factory MOH $154,000 $45,000 $44,000 $7,000 Depreciation - sales equipment MOH Utilities - Office Adminstrative Direct materials PM Supplies - Office Administrative $199,000 $3,000 Indirect materials DM $6,000 Sales commissions seiling $37,000 $6,000 $2,500 Training - Office Administrative Supplies - Factory MOH Training - Factory MOH Utilities - Factory MOH Indirect labor MOH $14,000 $11,000 $29,000 Administrative salaries Adminstrative $83,000 Depreciation - production equipment MOH $31,000 1. Compute the total manufacturing overhead costs during September (2 points). 451000 + 44,000 t +1,000 + 29.000 + 31,000 4,500 + 2,500 + 14.000 2. Compute the Product Costs incurred during September (2 points) DM + DL +MOH = Product Costs 176,500 + 81,000 + lag, ooo +6000 = 462,50D- 3. Compute the total Period costs for September (2 points) selling costs & administrative costs & Period costs 154.000 + 37,000 + 7000 + 3000 + bood $3000 (240,000 a mystery compound is discovered and has a soapy feel. what ph range would you expect the mystery compound to exist in? You measure 31 randomly selected textbooks' weights, and find they have a mean weight of 57 ounces. Assume the population standard deviation is 10.2 ounces. Based on this, construct a 99% confidence interval for the true population mean textbook weight. According to the Two-Factor Theory, what two factors drive job satisfaction? (K1) Select one a Salary and benefits b Meaning of work and quality of life c Motivation and hygiene d Freedom and flexibility With no plagiarism, write about the same and thedifferent things about IMF and World Bank. (1) prompt the user for a string that contains two strings separated by a comma. (1 pt) examples of strings that can be accepted: jill, allen jill , allen jill,allen T/F. a repetitive strain injury can be caused by persistent use of everyday technologies such as a computer keyboard TRUE / FALSE. Suppose that a country can convert wheat into textiles at a ratio of 3W = 1T. If the country could trade at 2.9W = 1T, it would be better off not trading. Explain why this statement is true or false Match the slopes with the correct relationships. explain, in terms of atomic structure, why liquid mercury is a good electrical conductor. what chemical is oxidized in the following reaction: mg 2hcl mgcl2 h2 group of answer choices not a redox reaction hcl mg mgcl2 Historically, demand has averaged 1447 units per week with a standard deviation of 715. The company currently has 2855 units in stock. What is the probability of a stockout? Z= ((x - u)/tho) A. 50.0% B. 2.442% C. 97.558% D. 197.0% E. 47,442% Determine whether the following functions are injective, or surjective, or neither injective nor sur- jective. a) f {a,b,c,d} {1,2,3,4,5} given by f(a) = 2, f(b) = 1, f(c) = 3, f(d) = 5. Is f injective? Is f surjective? There are two major sections needed for each journal entry. The first section is where you keep track of your ""life change"" goal(s) based on your ecological footprint. The second section of each journal entry is the part where you follow the weekly change of a living plant of your choice and it is called plant phenology. What is the internal rate of return (IRR) on an investment? How is it determined?What decision rule do managers follow when they use the IRR method to accept or reject investment proposals? please solve it Asap thanks Experts say that we ignore, forget, distort, or misunderstand a less than 10 percent of everything we hear. b. 25 percent of everything we hear. C. 50 percent of everything we hear. d. 75 percent of everything we hear. Find area of shaded area AND distance around the shaded area Thank you!! Calculate the freezing point of an aqueous 0.17 m solution of FeCl3 using a van't Hoff factor of 3.3. (Assume that Kf of water is 1.86C/m.) Freezing Point:In simple words, the freezing point is the minimum temperature at which a chemical substance starts freezing. After the freezing point, the state of the chemical substance changes from a liquid to a solid. For example, the freezing point of water is equal to zero degrees Celsius. Below the freezing point, the water changes from its liquid state to a solid-state in the form of ice.