Let X be a discrete random variable with probability mass function f(x) given by and f(x) = 0 for all other x. Let the random variable Y be defined by Y = X², i. e. , if X = 2, then Y = 4.
A. What are the possible values of Y?
B. Calculate the probability mass function of Y.
C. Calculate the probabilities P(Y lessthanorequalto 1) , P(F lessthanorequalto 3/4) and P(Y lessthanorequalto n - 3)
D. Find the mean and variance of Y.
E. Find the mean and variance of 3Y - 2.