The average height X and weight Y of males in population have a bivariate normal distribution with means x 1.80 m., My = 90.0 kgs and standard deviations = = 0.30 m., y = 15.3 kgs respectively. The correlation coefficient between X and Y is p = 0.80. (a) If a male person selected from the population has weight 95 kgs, what is his expected height and corresponding standard deviation? If a male person's height is 1.85 m., what is his expected weight and corresponding standard deviation? (b) What is the probability of a male person's weight exceeding 95 kgs if his height is measured to be 1.80 m.? (c) Find the value of the height which is exceeded by 15% of the male population whose weight is measured to be 92 kgs.