Suppose thatprobability densityfor the random variable X has is

f(x)=Ax

for x in the interval [0,1] and f(x)=0 otherwise.

a) Find the value of A = (hint :, f(x)dx=)

b)F(0.5)=P(X0.5)=

c) Find meanE(X).of r.v. X.

d) find the expected value ofg(x)=x^2 that isE(g(X))=E(X^2)=

e) find the median of r.v. X.