Question 1

Suppose you have a X ² distribution with 20 degrees of freedom. a. Find the mean. b. Find the variance. c. Find the standard deviation.

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Question 2

Use the F table to find the following values of F . a. F _.99,12,20 b. F _.95,20,40 c. F _.975,5,15 d. F _.99,8,30

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Question 3

What happens to the shape, mean, and variance of a Student t distribution as the degrees of freedom increase?

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Question 4

What happens to the shape, mean, and variance of a X ² distribution as the degrees of freedom increase?

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Question 5

Use the F table to find the following probabilities. a. P ( F _6,14 > 2.85) b. P ( F _20,60 > 2.20) c. P ( F _12,25 > 2.51) d. P ( F _15,30 > 2.01)

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Question 6

Suppose you have a Student t distribution with 20 degrees of freedom. 
 a. Find the mean. 
 b. Find the variance. 
 c. Find the standard deviation.

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Question 7

Suppose you have an F distribution with degrees of freedom 10, 20. 
 a. Find the mean 
 b. Find the variance. 
 c. Find the standard deviation.

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Quiz 7: Continuous Probability Distributions

Suppose you have a X 2 distribution with 20 degrees of freedom. a. Find the mean. b. Find the variance. c. Find the standard deviation.