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.

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.

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter9: Counting And Probability

Section9.3: Binomial Probability

Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...

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