Let a be an arbitrary positive real number. Let X1, ..., X, be iid continuous random variables with cdf Fx. (x) = c 0 such that Yn = max (X1, ..., Xn) no converges in distribution to a continuous random variable Y. as n - co. (Suggestion: See the below definition.) Write the pdf, mean, and variance of You. Definition: A sequence of random variables Y1, Y2, ... is said to converge in distribution to Y. if the cdfs FY,, (y) converge to the cdf Fy(y) for all y where Fy is continuous