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29 Oct 2021

Given information

Given: Approximately  of students at a local high school participate in after-school sports all four years of high school. A group of  seniors is randomly chosen.

To determine: Is it surprising if none of the seniors participated in after-school sports all four years of high school?

Step-by-step explanation

Step 1.

Probability of the event, when none of the seniors participated in after-school sports all four years of high school  

Calculate it by using Ti-83 calculator as follows:

Therefore, .

Observe that probability is too low, therefore, it won't be surprising, if none of the seniors participated in after-school sports all four years of high school.

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Introductory Statistics
OER Edition, 2013
Openstax
ISBN: 9781938168208

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