3. Probability Distributions

Continuous Distributions — Quiz

Test your understanding of continuous distributions with 5 practice questions.

Practice Questions

Question 1

Which distribution is characterized by a constant probability density over a given interval and zero probability density elsewhere?

Question 2

For a continuous uniform distribution defined on the interval $[A, B]$, what is the probability density function (PDF)?

Question 3

Which distribution is often used to model the time until an event occurs, particularly in processes where events happen continuously and independently at a constant average rate?

Question 4

What are the two parameters that define a normal distribution?

Question 5

If a random variable $X$ follows an exponential distribution with rate parameter $\lambda$, what is its cumulative distribution function (CDF) for $x \ge 0$?