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Elementary Statistics: Quiz 5: Continuous Random Variables

Module by: Susan Dean, Dr. Barbara Illowsky

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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