4. Continuous Distributions

Uniform Distribution — Quiz

Test your understanding of uniform distribution with 5 practice questions.

Practice Questions

Question 1

A continuous random variable X follows a uniform distribution on the interval [4, 20]. What is the median of this distribution?

Question 2

A continuous random variable Y is uniformly distributed on the interval [3, 15]. What is the interquartile range (IQR) of this distribution?

Question 3

A continuous random variable Z is uniformly distributed on the interval [5, 25]. What is the probability that Z is between 10 and 20?

Question 4

A continuous random variable W is uniformly distributed on the interval [2, 18]. What is the expected value of the square of W, i.e., $ E(W^2) $?

Question 5

A continuous random variable U is uniformly distributed on the interval [0, 10]. What is the probability that $ U^2 $ is less than 25?