Question

Let X be a continuous r.v with density function
f(x) = ( |x|
10
, for r 2 < x < 4 0, elsewhere
. Calculate the expected value of X.

Answer 1

E(x)=$\intop$ x*f(x)dx=$\intop$ ⁴₂x*|x|/10=($\int$ ⁴₂x²dx)/10=x³/30|⁴₂=28/15=1.86