. If a random variable x has a discrete uniform distribution
1
fx(x) = 2
for x = 1,2, ..., 2k; 0 Otherwise.
Derive p.g.f. of X and Compute E(2X + 3)​

Answer: Probability that Charles gets 7 or more correctly = 0.776

Probability that Ruth wins = 0.827

Step-by-step explanation:

Given data:

Probability that Charles distinguishes between beer and ale = 0.75

no of glasses = 10

no required to win the bet = 7 or more.

Solution:

a) probability of success p=0.75.

This is a binomial probability problem, what we need to solve for is the probability that ( X >=7 ) this can be gotten as

P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)

where k=7,8,9,10

Probability that he gets 7 correctly.

P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)

Substitute k = 7 into the equation

= 0.250

Probability that he gets 8 correctly.

P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)

substitute k = 8 into the equation

= 0.282

Probability that he gets 9 correctly.

P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)

Substitute k = 9 into the equation

= 0.188

Probability that he gets 10 correctly.

P(X>=7) = (10Ck) (0.75)^k (1-0.75)^(10-k)

Substitute the k= 10 into the equation.

= 0.0563

Probability that Charles gets 7 or more correctly

= 0.250 + 0.282 + 0.0563 + 0.188

= 0.776

b) Probability that Ruth wins

K = 1,2,3,4,5,6

p=0.5

P(X < 7)

P(X < 7) = (10Ck) (.5)^k (1-.5)^(10-k)

Probability that he gets one correctly

P(X = 1 ) = (10Ck) (.5)^k (1-.5)^(10-k)

substitute k= 1 into the equation.

= 0.0098

P(X=2) = (10Ck) (.5)^k (1-.5)^(10-k)

Substitute k= 2 into the equation

= 0.0439

P(X =3) = (10Ck) (.5)^k (1-.5)^(10-k)

Substitute k=3 into the equation.

=0.117

P(X=4) = (10Ck) (.5)^k (1-.5)^(10-k)

Substitute k= 4 into the equation

= 0.2051

P(X=5) = (10Ck) (.5)^k (1-.5)^(10-k)

Substitute k =5 into the equation

= 0.246

P(X= 6 ) = (10Ck) (.5)^k (1-.5)^(10-k)

Substitute k = 6 into the equation

= 0.205

Probability that Ruth wins

= 0.205 + 0.246 + 0.2051 + 0.117 + 0.0439 + 0.0098

= 0.827

Answer:

3 miles per hour

Step-by-step explanation:

his speed is 12/4 (or 3) miles an hour. What you do, is you have to multiply 15 by four to go from 15 min to one hour, and you also have to multiply 3/4 by four.

Answer:

[tex]k = 0.5[/tex]

Step-by-step explanation:

Given

[tex](x,y) = (6,3)[/tex]

Required

Determine the constant of variation

Since it is a direct variation, the following relationship exists:

[tex]y = kx[/tex]

Where k represents the constant.

Substitute 6 for x and 3 for y

[tex]3 = k * 6[/tex]

[tex]3 = 6k[/tex]

Make k the subject

[tex]k = \frac{3}{6}[/tex]

[tex]k = 0.5[/tex]

Hence, the constant of variation is 0.5

Answer:

The commission would be $12,250.00.

Answer:

k = 5x - 42

Step-by-step explanation:

Answer:

g(x) = (x-8)^2 - 5

Step-by-step explanation:

subtracting from x inside of the square translates the function to the right and adding to x inside of the square translates it to the left.

(x-8)^2 - 1  translates the function 8 units to the right

subtracting from the constant translates the function down and adding translates it up.

x^2 - 5 translates the function 4 units down

Therefore, (x-8)^2 - 5 translates the function 8 units to the right and 4 units down

Answer:

mean is 16

Step-by-step explanation:

Answer:

you should simply distribute it 4x -24y that mean you should × 4 by x and 4by 6y then you will get the answer

Answer:

C. Right and isosceles

Explanation:

Since two sides of the triangle are equal in length ([tex]DE[/tex] and [tex]DF[/tex]), this means that the triangle is an isosceles triangle. Since [tex]EF[/tex] is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.

Hope this helps :)

Answer:

It is C.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

A. Y=1.4x

Step-by-step explanation:

Answer:

A) 2.5

Step-by-step explanation:

20/8 = 2.5

Answer:

Step-by-step explanation:

Answer:

[tex]u = - 144[/tex]

Step-by-step explanation:

[tex] - 24 = u \div 6[/tex]

[tex] - 24 \times 6 = u[/tex]

[tex] - 144 = u[/tex]

to be sure

[tex] - 24 { = }^{?} - 144÷6[/tex]

[tex] - 24 = - 24[/tex]

Answer:

u = -144

Step-by-step explanation:

-24 = u ÷ 6

Multiply both side by 6.

-24 × 6 = u ÷ 6 × 6

-144 = u

Verification:-

-24 = -144 ÷ 6

-24 = -24

LHS = RHS

Answer:

Reflect shape A over the y-axis and vertically translate shape A downward 1 unit.

Answer:

i think its 20 dollars

Step-by-step explanation:

hope its right

Answer:

The total surface area is 782 inches

Step-by-step explanation:

I do not know the lateral answer sorry

Answer:

x = 11

Step-by-step explanation:

So the equation is  25x = 275. In order for us to find out what x is we need to get rid of 25 that is next to x, so we are going to have to divide 25x by 25. What you do to one side you do to the other so the equation will look like this:

25x/ 25 = 275/ 25

25x/25 = x

275/25 = 11

so x = 11

Answer: -3x

Step-by-step explanation: If you separate out each term on its own, 9 and x², and do the square root of each one, you are left with 3x. This is also coincidentally what the right side of this graph looks graphically. However, the line of 3x does continue past x=0, so the other side of this graph, -3x, fits this better.

Thats my best guess, either way, hope it helps!

Answer:

Step-by-step explanation:

it means that you do negative 2 times 6. That is -2 x 6, which is -12

Answer:

implied multiplication

Step-by-step explanation:

(-2)(6)

When two parentheses are next tow each other, there is implied multiplication

-2 * 6

-12

Answer:

B)

Step-by-step explanation:

I believe the answer is B).

Hope this helps! Do you give brainlliest?

Answer:

i think its 4

Step-by-step explanation:

Given that,

Length of the ladder = 20 ft

It casts a 12 ft shadow

To find,

If the statue casts a shadow that is 9 ft long then how tall is it?

Solution,

Let the ladder be x ft tall.

20 ft tall ladder = 12 ft shadow

9 ft tall ladder =

[tex]\dfrac{20}{12}\times 9\\\\=15\ ft[/tex]

Hence, the required length is 15 ft.

Answer: can it be a bit clearer pls?

Step-by-step explanation:

Answer:

i not know what you need me to help you

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

C, ∠7  and  ∠3

100% Sure

Answer:

The slope-intercept form: y = mx + b

m - a slope

b - y-intercept

We have a slope m = 1/4. Substitute: y = 1/4 x + b

We know, the line passes through point (8, 3) → x = 8, y = 3.

Put the values of x and y to the equation of the line:

1/4 · 8 + b = 3

2 + b = 3 |-2

b = 1

Answer: y-intercept is (0, 1)

Step-by-step explanation:

Answer:

24  

Step-by-step explanation:

4 numbers can be arranged that many times and Carl and Devon count as one since they need to sit next to one another!