A certain tennis player makes a successful first serve 75% of the time. Assume that each serve is independent of the others. She averages 92 1st serves per match. a) Out of 92 first serves, what is...


A certain tennis player makes a successful first serve 75% of the time. Assume that each serve is independent<br>of the others. She averages 92 1st serves per match.<br>a) Out of 92 first serves, what is the probability that she makes 65 good 1st serves or fewer?<br>(use<br>binomcdf)<br>b) Find the mean and standard deviation for the number of good 1st serves out of 92 attempts.<br>Mean:<br>Standard Deviation:<br>c) Does the normal approximation apply? Explain.<br>d) Use the normal distribution to find the probability that she gets 65 good 1st serves or fewer out of 92<br>attempts.<br>

Extracted text: A certain tennis player makes a successful first serve 75% of the time. Assume that each serve is independent of the others. She averages 92 1st serves per match. a) Out of 92 first serves, what is the probability that she makes 65 good 1st serves or fewer? (use binomcdf) b) Find the mean and standard deviation for the number of good 1st serves out of 92 attempts. Mean: Standard Deviation: c) Does the normal approximation apply? Explain. d) Use the normal distribution to find the probability that she gets 65 good 1st serves or fewer out of 92 attempts.

Jun 11, 2022
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