In a large metropolitan city, it is estimated that 35% of the population are vegetarians, 25% are vegans, and the remaining 40% are omnivores. If a local restaurant hosts a themed dinner night and invites 100 guests at random from this city, what is the probability that exactly 20 vegetarians, 15 vegans, and 65 omnivores will attend the event?

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 large metropolitan city, it is estimated that 35% of the population are vegetarians, 25% are vegans, and the remaining 40% are omnivores. If a local restaurant hosts a themed dinner night and invites 100 guests at random from this city, what is the probability that exactly 20 vegetarians, 15 vegans, and 65 omnivores will attend the event?
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