Measure the normal distribution with mean

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Question: Ace! Measure the normal  Rafael Nadal hits the ball extremely hard. His first-serve speeds follow a Normal distribution with mean 115 miles per hour (mph) and standard deviation 6 mph. Choose one of Nadal's first serves at random. Let Y = its speed, measured in miles per hour.

(a) Find P(Y > 120) and interpret the result.

(b) What is P(Y ≥ 120)? Explain.

(c) Find the value of c such that P(Y ≤ c) = 0.15. Show your work.

Reference no: EM131762430

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