g Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two
1 answer:
Answer: hello your question is incomplete below is the complete question
Let X and Y be two independent standard normal random variables, i.e., each follows the distribution N (0, 1). Now, define two new random variables as Z = 11 - X + X²Y, W = 3-Y. find cov ( Z, W )
answer : Cov ( Z, W ) = -1
Step-by-step explanation:
Z = 11 - X + X²Y
w = 3 - Y
Cov ( Z, W ) = Cov ( 11 - x + x^2 Y , 3 - Y )
= Cov ( 11, 3 ) - Cov ( 11, Y ) - Cov(x,3) + cov (x,y) + cov(x^2y, 3) -cov (x^2y, y )
attached below is the remaining part of the detailed solution
hence
Cov ( Z, W ) = -1
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