9. Let (X,Y) have the following joint density function: f(x, y) Certyf Kriko {12 0 12y² 0≤ y ≤ x ≤1 otherwise a. Find th
Posted: Mon Jul 11, 2022 11:37 am
9. Let (X,Y) have the following joint density function: f(x, y) Certyf Kriko {12 0 12y² 0≤ y ≤ x ≤1 otherwise a. Find the marginal distribution of Y, f(y). b. Find the conditional distribution of X given Y=y, f(x|y). c. What is E(Y)? d. What is E(Y²)? e. What is E(X)? f. What is the probability that X<0.8 given Y=0.5?