4. Statistics and Probability

Probability Density Functions — Quiz

Test your understanding of probability density functions with 5 practice questions.

Practice Questions

Question 1

What is a probability density function, or $pdf$, for a continuous random variable?

Question 2

Which condition must a probability density function satisfy for all values of $x$ in its domain?

Question 3

For a continuous random variable $X$, what is the value of $P(X = 3)$?

Question 4

A $pdf$ is defined on the interval $0 \le x \le 2$ by $f(x)=kx$. If the total area under the curve is $1$, what is $k$?

Question 5

If a continuous random variable has $pdf$ $f(x)$, which expression gives $P(a \le X \le b)$?