Let X be a discrete random variable with the following cumulative distribution function x < 0 0Sx<1 15x<3 3 Sx<5 x 25 0.2 F(x) = {a 0.6 1 Find a if P( 1< X < 3) = 0.22 O 0.48 O 0.82 О 0.42 O 0.45

Suppose that the random variableX has the continuous uniform distribution ( 1,0 < x < 1 0, otherwise Suppose that a random sample of n = 15 observations is selected from this distribution. What is the approximate probability distribution of X-4? Find the mean and variance of this quantity. Note: Answer can be input as a fraction. f(x) = V distribution with mean = and variance =

Suppose that the distribution function of X is given by   //check pic //    Calculate the probability mass function of X