A certain tennis player makes a successful first serve 69% of the time. Assume that each serve is independent of the others. She averages 87 1st serves per match. a) Out of 87 first serves, what is the probability that she makes 52 good 1st serves or fewer? (use binomcdf) b) Find the mean and standard deviation for the number of good 1st serves out of 87 attempts. Mean: Standard Deviation: c) Does the normal approximation apply? Explain. d) Use the normal distribution to find the probability that she gets 52 good 1st serves or fewer out of 87 attempts.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
A certain tennis player makes a successful first serve 69% of the time. Assume that each serve is independent
of the others. She averages 87 1st serves per match.
a) Out of 87 first serves, what is the probability that she makes 52 good 1st serves or fewer?
(use
binomcdf)
b) Find the mean and standard deviation for the number of good 1st serves out of 87 attempts.
Mean:
Standard Deviation:
c) Does the normal approximation apply? Explain.
d) Use the normal distribution to find the probability that she gets 52 good 1st serves or fewer out of 87
attempts.
Check Answer
Transcribed Image Text:A certain tennis player makes a successful first serve 69% of the time. Assume that each serve is independent of the others. She averages 87 1st serves per match. a) Out of 87 first serves, what is the probability that she makes 52 good 1st serves or fewer? (use binomcdf) b) Find the mean and standard deviation for the number of good 1st serves out of 87 attempts. Mean: Standard Deviation: c) Does the normal approximation apply? Explain. d) Use the normal distribution to find the probability that she gets 52 good 1st serves or fewer out of 87 attempts. Check Answer
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman