e} Suppose that a random variable X for which the moment generating function is as follows 1 Mxt) = 21' (3ct+si) for oo<:i oo find the mean and variance of x marks f let be a discrete random variable with probability mass function suppose y="(X" sample space g continuous has density forisi-i .="as" _ otherwise determine mode marks. question two verify that at for :1:="{1," can serve as b light bulbs manufactured by company are defective. l ran domly sampled from assembly line. what is contains most three defective bulbs. use i binomial formula ii poisson approximation to distribution>