Basketball Player Heights Assume the Heights of High School Basketball

Essay

Basketball player heights Assume the heights of high school basketball players are
normally distributed. For boys the mean is 74 inches with a standard deviation of 4.5
inches, while girl players have a mean height of 70 inches and standard deviation 3 inches.
At a mixed 2-on-2 tournament teams are formed by randomly pairing boys with girls as
teammates.
a. On average, how much taller do you expect the boy to be?
b. What will be the standard deviation of the difference in teammates' heights?
c. On what fraction of the teams would you expect the girl to be taller than the boy?