At the US Open Tennis Championship a Statistician Keeps Track of Every

question 164

Essay

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 98 miles per hour (mph) and the standard deviation of the serve speeds was 13 mph. Assume that the statistician also gave us the information that the distribution of serve speeds was mound-shaped and symmetric. Find the percentage of serves that were hit faster than 72 mph.

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Definitions:

Domain

All possible values of x for which a given function is defined.

Composition

In mathematics, composition is the application of one function to the result of another, denoted as \((f \circ g)(x) = f(g(x))\).

Composition

The process of combining two functions by applying one function to the results of another.

Function

A relation between sets that assigns to each element of a set exactly one element of another set.