At a tennis tournament a statistician keeps track of every serve. The statistician finds that the mean serve speed of a particular player was 110 miles per hour (mph) and the standard deviation of the serve speeds was 5 mph. Assume that the distribution of the serve speeds was bell shaped. Using the Empirical Rule, find the following. a) percent of serves expected to be above 120mph. b) proportion of serves expected to be between 105mph and 125mph. c) proportion of serves expected to be below 105mph. d) percent of serves expected to be within 3 standard deviations of the mean.

MATLAB: An Introduction with Applications
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At a tennis tournament a statistician keeps track of every serve. The statistician finds
that the mean serve speed of a particular player was 110 miles per hour (mph) and the
standard deviation of the serve speeds was 5 mph. Assume that the distribution of the
serve speeds was bell shaped. Using the Empirical Rule, find the following.
a) percent of serves expected to be above 120mph.
b) proportion of serves expected to be between 105mph and 125mph.
c) proportion of serves expected to be below 105mph.
d) percent of serves expected to be within 3 standard deviations of the mean.
Transcribed Image Text:At a tennis tournament a statistician keeps track of every serve. The statistician finds that the mean serve speed of a particular player was 110 miles per hour (mph) and the standard deviation of the serve speeds was 5 mph. Assume that the distribution of the serve speeds was bell shaped. Using the Empirical Rule, find the following. a) percent of serves expected to be above 120mph. b) proportion of serves expected to be between 105mph and 125mph. c) proportion of serves expected to be below 105mph. d) percent of serves expected to be within 3 standard deviations of the mean.
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