Question

Let (X, Y) be a random vector having bivariate normal distribution with parameters E(X) = 0, Var(X) = 1, E(Y) = −1, Var(Y) = 4 and ρ(X, Y) = $-\frac{1}{2}$ , where ρ(X, Y) denotes the correlation coefficient between X and Y. Then P(X + Y > 1 | 2X − Y = 1) equals

• A. $Φ(-\frac{1}{2})$
• B. $Φ(-\frac{1}{3})$
• C. $Φ(-\frac{1}{4})$
• D. $Φ(-\frac{4}{3})$

Answer 1

Answer: (D)

$Φ(-\frac{4}{3})$

Answer 2

The correct option is (D) : $Φ(-\frac{4}{3})$.