Erica is working on a project using software to find probabilities. She quickly realizes that her software cannot calculate some of the large factorials needed in finding some of the probabilities. For example, at a factory, 1000 people applied for 40 available positions. Even though 450 of the applicants were women, only 12 women were hired. She needs to find the probability of this occurring by random chance. Of course, realistically, she would probably want to find the probability of choosing at most 12 women. Find the approximate probability of randomly choosing 40 of the 1000 applicants and only 12 women are selected. You should find the approximate probability without using large factorials like 1000!

Erica is working on a project using software to find probabilities. She quickly realizes that her software cannot calculate some of the large factorials needed in finding some of the probabilities. For example, at a factory, 1000 people applied for 40 available positions. Even though 450 of the applicants were women, only 12 women were hired. She needs to find the probability of this occurring by random chance. Of course, realistically, she would probably want to find the probability of choosing at most 12 women. Find the approximate probability of randomly choosing 40 of the 1000 applicants and only 12 women are selected. You should find the approximate probability without using large factorials like 1000!

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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