4. Continuous Distributions

Density Functions — Quiz

Test your understanding of density functions with 5 practice questions.

Practice Questions

Question 1

Which statement is true for any continuous random variable X at a specific value c?

Question 2

For a function f(x) to be a valid probability density function on its domain, which condition is NOT required?

Question 3

If X has PDF f(x)=kx^2 for 0≤x≤2 and f(x)=0 elsewhere, what is the value of k?

Question 4

Using the PDF f(x)=$\frac{3}{8}$x^2 for 0≤x≤2, what is P(X<1)?

Question 5

For the PDF f(x)=x/2 on 0≤x≤2, what is the expected value E[X]?