Let X be the number of scoring chances that result in goals for a football team during n scoring chances. During many games, the team scores on 20% of the chances. a) Explain why it might be reasonable (at least as an approximation) to assume that X is binomially distributed in this situation. Do this by going through each of the points that must be met for us to use the binomial distribution, assess whether it is reasonable for them to be met here and specify any additional assumptions we need to make.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Let X be the number of scoring chances that result in goals for a football team during n scoring
chances. During many games, the team scores on 20% of the chances.
a) Explain why it might be reasonable (at least as an approximation) to assume that X is
binomially distributed in this situation. Do this by going through each of the points that must
be met for us to use the binomial distribution, assess whether it is reasonable for them to be
met here and specify any additional assumptions we need to make.
Transcribed Image Text:Let X be the number of scoring chances that result in goals for a football team during n scoring chances. During many games, the team scores on 20% of the chances. a) Explain why it might be reasonable (at least as an approximation) to assume that X is binomially distributed in this situation. Do this by going through each of the points that must be met for us to use the binomial distribution, assess whether it is reasonable for them to be met here and specify any additional assumptions we need to make.
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