A random variable X has the density function f(x) = (x + x) if x [0, 1] 0 otherwise

a) Determine the value of c.

b) Compute E( 1 X ).

c) Determine the probability density function of Y = X2 .

A random variable X has the density function f(r)={ (\"H/E) ifme[0,1] 0 otherwise a) Determine the value of c. b} Compute 151%). 0) Determine the probability density function of Y = X 2