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A tennis player makes a successful first serve

01/05/2021 Client: muhammad11 Deadline: 2 Day

A professional tennis player claims to get 90% of her second serves in. In a recent match, the player missed 5 of her first 20 second serves. Is this a surprising result if the player’s claim is true? Assume that the player has a 0.10 probability of missing each second serve. We want to carry out a simulation to estimate the probability that she would miss 5 or more of her first 20 second serves.

a. Describe how to use a random number generator to perform one trial of the simulation.

The dotplot displays the number of second serves missed by the player out of the first 20 second serves in 100 simulated matches.

2 3 5 6. 7 Number of missed serves in simulated match

b. Explain what the dot at 6 represents.

c. Use the results of the simulation to estimate the probability that the player would miss 5 or more of her first 20 second serves in a match.

d. Is there convincing evidence that the player misses more than 10% of her second serves? Explain your answer.

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