Question

Suppose you have a random variable that is uniformly distributed between 7 and 26. what is the expected value for this random variable? answer to one decimal place if necessary.

Answer 1

`\mathbb E(X)=\int_7^(26)\fracx{26-7}\,\mathrm dx=\frac{33}2=16.5`

which follows from the definition for expected value,


`\mathbb E(X)=\int_(-\infty)^\infty xf_X(x)\,\mathrm dx`

where
`f_X(x)` is the probability density function for
`X`.