Skip to content
Q23Section A (Section A)23 of 60

Conditional probability in bivariate normal

Let (X,Y)(X, Y) be a random vector having bivariate normal distribution with parameters E(X)=0,Var(X)=1,E(Y)=−1,Var(Y)=4E(X)=0, \mathrm{Var}(X)=1, E(Y)=-1, \mathrm{Var}(Y)=4 and ρ(X,Y)=−12\rho(X, Y)=-\frac{1}{2}, where ρ(X,Y)\rho(X, Y) denotes the correlation coefficient between XX and YY. Then P(X+Y>1∣2X−Y=1)P(X+Y > 1 \mid 2X-Y=1) equals

Options

Pick an option to check your answer.