Let x and Y be two random variables such that
E(x)=-1,sd(x)=5
E(Y)=8,sd(Y)=2
rho=0.7
Suppose that (x,Y) is bivariate Gaussian. Pre- dict the percentile for Y (among the possible Y values) when observing x to be at the 27th per- centile (among the possible x values).
(a) 33.4
(b) 14.5
(c) 66.5
(d) 75.8
(e) 19.4