.Ace! Professional tennis player 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. Find P(Y > 121) and interpret the result. What is P(Y ≥ 121)? Explain. Find the value of c such that P(Y ≤ c) = 0.15. Show your work
First problem P (Y > 121) The z score for this is z = (115 - 121) / 6 z = -1 which corresponds to a value of 0.1587 P (Y > 121) = 1 - 0.1587 = .8413 or 84.13%
Next problem <span>P(Y ≤ c) = 0.15 corresponds to z score of z = -1.04 calculating for c -1.04 = (115 - c) / 6 c = 121.24</span>
