Which of the following statements is true regarding the cumulative distribution function (CDF) for a continuous random variable $X$?
Question 2
If $F(x)$ is the cumulative distribution function of a continuous random variable $X$, how can the probability $P(a < X < b)$ be expressed in terms of $F(x)$?
Question 3
A continuous random variable $X$ has a probability density function $f(x) = \frac{1}{5}$ for $0 \le x \le 5$ and $0$ otherwise. What is the expected value $E[X]$?
Question 4
For a continuous random variable $X$ with probability density function $f(x)$, what is the median of the distribution?
Question 5
Which of the following is a key property of the probability density function $f(x)$ for a continuous random variable?
