Let Y_1, Y_2, ..., Y_n be independent random variables, each having a uniform distribution over (0, 1). Let times = maximum (Y_1 Y_2, ..., Y_n). Show that the cumulative distribution function of m, F_x (middot), is given by F_x (x) = x^n, 0 lessthanorequalto times lessthanorequalto 1 What is the probability density function of X