Need the detailed steps for the questions 1. It has 4 sub questions, Please help to answer them all.

1. Let X and Y be two independent Gaussian random variables Where X has mean \"X and variance (IX, and Y has mean \"Y and variance 0' . (i) (ii) (iii) (M 2 2 Express P(|X \"XI 0 is a constant. (15 Marks) Find the joint pdf of X and Y. (15 Marks) Find P[max(X, Y) > O] in terms of the Q-function. (15 Marks) Conditioned on the event that maX(X, Y) > 0, find the probability of the event that min (X, Y) > 0 in terms of the Q-function. (15 Marks)