Suppose Steve teaches a gym class of 60 students, and all are expected to attend in-person. He is deciding how many cupcakes to bring to his class. He knows that the probability each student attends on any given day is 75%, and the probability they "no-show" is 25%. Steve assumes each student's decision is independent, so he will apply the binomial distribution to assess the situation. What is the minimum number of cupcakes Steve needs to bring if he wants no more than a 3% chance of running out? Assume everyone that shows up wants a cupcake. Hint: use the binomial distribution functions in Excel.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Suppose Steve teaches a gym class of 60 students, and all are expected to attend in-person. He is deciding how many cupcakes to bring to his class. He knows that the probability each student attends on any given day is 75%, and the probability they "no-show" is 25%. Steve assumes each student's decision is independent, so he will apply the binomial distribution to assess the situation. What is the minimum number of cupcakes Steve needs to bring if he wants no more than a 3% chance of running out? Assume everyone that shows up wants a cupcake.

Hint: use the binomial distribution functions in Excel. 

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