An examination consists of multiple-choice questions, each having five possible answers. Linda estimates that she has probability 0.4 of knowing the answer to any question that may be asked. If she does not know the answer, she will guess, with conditional probability 1/5 of being correct.A. What is the probability that Linda gives the correct answer to a question? B. What is the conditional probability that Linda knows the answer, given that she supplies the correct answer?

Answers

Answer 1

Answer:

a. 0.52 = 52% probability that Linda gives the correct answer to a question.

b. 0.7692 = 76.92% probability that Linda knows the answer

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Supplies the correct answer:

Event B: Knows the answer

A. What is the probability that Linda gives the correct answer to a question?

0.4(knows the answer)

1/5 = 0.2 of 1 - 0.4 = 0.6(guesses the answer). So

[tex]P(A) = 0.4 + 0.2*0.6 = 0.52[/tex]

0.52 = 52% probability that Linda gives the correct answer to a question.

B. What is the conditional probability that Linda knows the answer, given that she supplies the correct answer?

Intersection of events A and B is knowing the answer and giving the correct answer, which means that [tex]P(A \cap B) = 0.4[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.52} = 0.7692[/tex]

0.7692 = 76.92% probability that Linda knows the answer


Related Questions

write an expression that is equivalent to -0.5(14a-22)

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Answers

Answer: -7a+11
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Answers

Answer:

For the .5s, go between the numbers for example, 4.5 is between 4 and 5 so you graph between them. Remember that the rule is (x,y) so graph the x (first number) on the horizontal line and graph the y (second number) on the vertical line.

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Answers

Answer:

The surface area of the triangular prism is = 94.641016151378 cm^2

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Answers

What is the full question!?

Answer:

Then if each would bring 1 of each so there would be 2 pizzas and 2 bag of chips

Step-by-step explanation:

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у
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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

You are planning to take a group of friends to the movies for your birthday. The local movie theater charges $12.99 per
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A
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B)
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Answers

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QUESTION 1
1.1
1.1.1 Wiite 2 368 000 in words
1.1.2
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Answers

1.) 2368000 (two million, three hundred sixty-eight thousand)
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Answers

Answer:

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Step-by-step explanation:

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MY GO*D!!!!?!?!?! SOMEONE HELP?????
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Answers

9514 1404 393

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Answers

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Answer:

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Answers

Answer:

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Step-by-step explanation:

Answer
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Answers

Answer:

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Answers

Hi there!

[tex]\large\boxed{UV = 13}[/tex]

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Therefore:

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Answers

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This is the answer

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Answers

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

14-5=9

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help

Answers

Answer:

13/2

Step-by-step explanation:

2x-8=5

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Answers

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Answers

Answer:

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Answers

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Answers

Answer:

x - 6.

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

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Answers

Answer:

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