Please answer the following 3 questions:

: Let X ~ Exponential(2), i.e., fy(x) = 1-le-x/2. Find a function g such that the distribution of Y = g(X) is Uniform(0, 1). 2. Find the first moment of the random variable X, which has the probability mass function given by fx (x) = ( ) p*(1- p)"-x for each x = 0, ... , n. 3. Show that E(max{X, Y}) = EX + EY - E(min{X, Y])