Let x1, x2, x3, x4 be 4 independent random variables each with probability distribution function f(x)= 3(1-x^2), 0
A fair die is cast at random 3 independent times. Let the random variable X, be equal to the number on the die that appears on the nth trial, i=1, 2, 3. Let the random variable Y = max(x1, x2, x3, x4), find the cumulative distribution function and probability distribution function for Y.