Suppose that the heights of male students at a university have anormal distribution with mean = 65 inches and standard deviation =2.0 inches. A randomly sample of 10 students are selected to makeup an intramural basket ball team.
i) What is the mean (mathematical expectation) of xbar?
ii) What is the standard deviation of x bar?
iii) What is the probability that the average height (x bar) ofthe team will exceed 69 inches?
iv) What is the probability that the average height (x bar) ofthe team will be between 62 and 70 inches?