What is the minimum number of cupcakes

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Suppose Dan teaches a class of 60 students, and all are expected to attend in-person. Dan wants to boost everyone's spirits and apply his statistical knowledge at the same time. He is deciding how many cupcakes to bring to class. He knows that the probability each student attends on any given day is 75%, and the probability they "no-show" is 25%. Dan 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 Dan 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.

Reference no: EM133014665

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