question archive X is a continuous random variable that follows Standard Normal distribution
Subject:StatisticsPrice: Bought3
X is a continuous random variable that follows Standard Normal distribution. Define Y = 1 + |X|. Find the probability density function of Y. b. (7 marks) Let X and Y are independent continuous random variables and both of them follow U(0, 1). Find E(|X - YI). c. (6 marks) Let X1, X2 and X3 are independent and identically distributed random variables. They follow the same distribution with the following probability density function: 12x, 0<x<1 f(x) -10, otherwise Let a be the median of the above distribution. Find P(max(X1, X2, X3) > a).