A cereal company puts a Star Wars toy watch in each of its boxes as a sales

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A cereal company puts a Star Wars toy watch in each of its boxes as a sales promotion. Twenty percent of the cereal boxes contain a watch with Obi Wan Kenobi on it. You are a huge Obi Wan fan, so you really want one of these watches.
a. You decide to buy 100 boxes of cereal from the warehouse store to be on the safe side. What is the probability you don't find any Obi Wan watches?
b. What is the expected number of Obi Wan watches you will find in the 100 boxes?
c. If each box of cereal costs $3.50, and you believe the value of an Obi Wan watch will be approximately $50 in a few years, are you doing a smart thing by purchasing 100 boxes? (Think about the expected value for the cost and the profit.)
d. How many boxes of cereal would you need to buy to be at least 95% sure of finding at least 1 Obi Wan watch?
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Introduction to Probability

ISBN: 978-0716771098

1st edition

Authors: Mark Daniel Ward, Ellen Gundlach

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