Question

At a tennis tournament a statistician keeps track of every serve. The statistician reported that the man serve speed of a particular player was 104 miles per hour (mph) and the standard deviation of the serve speeds was 8 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was bell shaped. Sketch the curve, and use the empirical rule to estimate:

a) What proportion of the player's serves are expected to be between 112 mph and 120 mph?

b) What proportion is less than 80 mph?

c) 95% of the serves are between________ and __________.

d) If one of his serves is 115 mph, what is the z-score of that serve?

Answer 1