The input voltage to a rectifier is a random variable U with

The input voltage to a rectifier is a random variable

U with a uniform distribution on [1, 1]. The rectifier

output is a random variable W defined by

W = g(U) =

0 U < 0,

U U 0.

Solution

The output is defined by W=g(u) = 1/[1-(-1)] = 1/(1+1)= 1/2

g(u) = 0 if U<-1 or U >1

g(u) = 1/2 if -1 <U< 1