For a freshman taking introductory statistics and majoring in psychology, let X equal the students ACT mathematics

Question:

For a freshman taking introductory statistics and majoring in psychology, let X equal the student’s ACT mathematics score and Y the student’s ACT verbal score. Assume that X and Y have a bivariate normal with μX = 22.7, σ2x = 17.64, μY = 22.7, σ2Y = 12.25, and ρ = 0.78.
(a) Find P(18.5 < Y < 25.5).
(b) Find E(Y | x).
(c) Find Var(Y | x).
(d) Find P(18.5 < Y < 25.5 | X = 23).
(e) Find P(18.5 < Y < 25.5 | X = 25).
(f) For x = 21, 23, and 25, draw a graph of z = h(y | x) similar to Figure 4.5-1.
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...