One out of every 50 recipes in a particular cookbook series has a missing ingredient. One particular cookbook in this series has 137 recipes. (a) Calculate the precise probability that the cookbook in question will have 1 or 2 recipes with a missing ingredient. (b) Approximate the probability in (a) using the Poisson distribution. Do you think this approximation is a good one? Why?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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One out of every 50 recipes in a particular cookbook series has a missing ingredient. One particular cookbook in this series has 137 recipes.
(a) Calculate the precise probability that the cookbook in question will have 1 or 2 recipes with a missing ingredient.
(b) Approximate the probability in (a) using the Poisson distribution. Do you think this approximation is a good one? Why?

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