A crowd of 28,760 fans will be attending a soccer game. On average 27% of attendees will want to buy a meat pie. Use a normal distribution to find how many meat pies the stadium should order to ensure a less than 20% chance of running out of meat pies. (Note that no σ has been provided. To determine it, we assume that we are approximating a binomial distribution in which σ 2 = np(1−p). Moreover, to correct for issues in approximating a discrete quanity (people) using a continuous distribution, it is normal to subtract 0.5 from lower bounds and add 0.5 to upper bounds.)

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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A crowd of 28,760 fans will be attending a soccer game. On average 27% of attendees will want to buy a meat pie. Use a normal distribution to find how many meat pies the stadium should order to ensure a less than 20% chance of running out of meat pies. (Note that no σ has been provided. To determine it, we assume that we are approximating a binomial distribution in which σ 2 = np(1−p). Moreover, to correct for issues in approximating a discrete quanity (people) using a continuous distribution, it is normal to subtract 0.5 from lower bounds and add 0.5 to upper bounds.)

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