Question

Professional tennis play Novak Djokovic hits the ball extremely hard. His first-serve speeds follow a normal distribution with mean 112 miles per hour (mph) and standard deviation 6 mph. Choose one of Djokovic’s first serves at random. Let Y = its speed, measured in miles per hour.
a. A first serve with a speed less than 100 miles per hour is considered “slow.” What percent of Djokovic’s first serves are slow?
b. Calculate P(120 < Y < 125) and interpret the result.
c. Find the 15th percentile of Novak Djokovic’s first-serve speed distribution.

Answer 1

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