Homework SourseSuppose that X and Y are bivariate normal random variables s
Suppose that X and Y are bivariate normal random variables such that E[X] = 12, V[X] = 5, E[Y] = 1, V[Y] = 9, and = 0.6.
Answer the following questions about this distribution:
(a) What is P(X 9)?
(b) What are E[X | Y = 0] and V[X | Y = 0]?
(c) What is P(X > 13 | Y = 0)?
(d) What are E[X | Y = 6] and V[X | Y = 6]?
(e) What is P(X > 13 | Y = 6)?
CLEAR EXPLANATIONS PLEASE
Solution
![Suppose that X and Y are bivariate normal random variables such that E[X] = 12, V[X] = 5, E[Y] = 1, V[Y] = 9, and = 0.6. Answer the following questions about th](/WebImages/27/suppose-that-x-and-y-are-bivariate-normal-random-variables-s-1074404-1761563283-0.webp "Suppose that X and Y are bivariate normal random variables such that E[X] = 12, V[X] = 5, E[Y] = 1, V[Y] = 9, and = 0.6. Answer the following questions about th")
