Let X Have a Uniform Distribution on the Interval [A $\sigma _ { x }$

Essay

Let X have a uniform distribution on the interval [a, b].
a. Obtain an expression for the (100p) th percentile.
b. Compute E(X), V(X), and $\sigma _ { x }$
.
c. For n a positive integer, compute $E \left( X ^ { n } \right)$
.