I am little bit confused with the conditional probabilities in the following problem.
The correlation coefficient between the heights of husbands and wives is 0.70 and the male height is 5 feet 10 inches with standard deviation 2 inches, and the mean female height is 5 feet 4 inches with standard deviation 1.5 inches. Assuming a bivariate normal distribution, what is the best guess of the height of a woman whose husband's height is 6 feet? Find a 95% prediction interval for her height.
Thanks in advance.