A continuous random variable X has probability density function of given by +b, 0x4 f(x) = a where a and b are positive constants. 0 otherwise It is given that P(X2) = 0.75. (a) Show that a = 32 and b = (b) Find E(X). () Find Var(X). (d) Find the median of X. 12 Eight independent observations of X are now taken and the random variable Y is the number of observations such that X>2. (e) Find E(Y). (f) Find P(Y 3).