In a restaurant, 400 people are served food every day. On average, 20% of the guests order apple pie. (a) Determine the number of apple pies the chef should prepare so that with a probability of 0.95, that number is sufficiently large (to serve everyone) and sufficiently small (to avoid wasting resources). (b) How many guests should the restaurant have so that with a probability of 0.95, the number of guests ordering apple pie falls within the range of 19% to 21%?

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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In a restaurant, 400 people are served food every day. On average, 20% of the guests order apple pie. (a) Determine the number of apple pies the chef should prepare so that with a probability of 0.95, that number is sufficiently large (to serve everyone) and sufficiently small (to avoid wasting resources). (b) How many guests should the restaurant have so that with a probability of 0.95, the number of guests ordering apple pie falls within the range of 19% to 21%?

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