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# Elementary Statistics: Quiz 5: Continuous Random Variables

Summary: This module is a quiz containing 10 multiple choice questions covering topics related to continuous random variables. This module is part of a set of companion resources to Collaborative Statistics (col10522) by Barbara Illowsky and Susan Dean.

## Exercise 1

Given that X ~ U(3, 15), find the probability that X is between 12 and 14.

• A. 2/12
• B. 12/14
• C. 2/15
• D. 2

## Exercise 2

Given that X ~ U(3, 15), find the probability that X is greater than 5 given that X is less than 10.

• A. 5/12
• B. 5/10
• C. 5/7
• D. 10/7

## Exercise 3

Given that X ~ U(3, 15), find the 70th percentile.

• A. 0.70
• B. 5.4
• C. 11.4
• D. 10.5

## Exercise 4

Given that X ~ U(3, 15), f(x) =

• A. 1/15
• B. 1/18
• C. 1/12
• D. 1

## Exercise 5

Given that X ~ U(3, 15), what percent of the area is between 1 and 4?

• A. 8 1/3
• B. 25
• C. 20
• D. unable to determine

## Exercise 6

The probability that "X is at most 3" is interpreted as:

• A. P(X < 3) + P(X=3)
• B. P(X < 3)
• C. P(X > 3)
• D. P(X > 3) + P(X = 3)

## Exercise 7

Given that X ~ Exp(0.4), find the decay rate.

• A. 0.4
• B. 1/0.4
• C. 4
• D. 2.5

## Exercise 8

Given that X ~ Exp(0.4), find the median.

• A. 2.5
• B. 1.25
• C. 1.73
• D. 1/4

## Exercise 9

X follows an Exponential Distribution with an average of 12. Which of the following is true?

• A. The median is 12.
• B. The decay rate is 12.
• C. The mode is 12.
• D. The standard deviation is 12.

## Exercise 10

X follows a Uniform Distribution from 2 to 5. What can be said of the median?

• A. It is the same as the standard deviation.
• B. Both (1) and (2) are correct.
• C. It is the same as the average.
• D. It is less than the average.

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