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Question

# A random variable X has a uniform density function $f(x)=\frac{1}{5}$ on $20 \leq x \leq 25$.(a) Find E(X) and Var(X).(b) Find b such that $\operatorname{Pr}(X \leq b)=.3$.

Solution

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It is given that a random variable $X$ has a uniform density function

\begin{aligned} f(x)=\frac{1}{5}, \quad 20 \leq x\leq 25, \end{aligned}

and zero otherwise.

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