You are given a Random Process, X(t) = sin(t + ) where is a constant and is a uniform random variable over the range 0 to 2.

a) Find F(x,t) and and f(x,t). Let t=1 and plot it f(x,1).

b) We select a time, t=0. Plot the Random variable X(0 + ).

c) We select a value of the random variable, = . Let = 1. Plot the time function X(t) for t from 0 to 2.