A city commissioner claims that 80% of the people living in the city favour contracting out garbage collection to a private company. To test the commissioner's claim, 25 city residents are randomly selected, yielding 22 who prefer contracting to a private company. (a) If the commissioner's claim is correct, what is the probability that the sample would contain at least 22 who prefer contracting to a private company? (b) If the commissioner's claim is correct, what is the probability that exactly 22 would prefer contracting to a private company? (c) If 100 city residents are randomly selected, how many would you expect to prefer contracting to a private company.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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: A city commissioner claims that 80% of the people living in the city favour contracting out
garbage collection to a private company. To test the commissioner's claim, 25 city residents are randomly
selected, yielding 22 who prefer contracting to a private company.
(a)  If the commissioner's claim is correct, what is the probability that the sample would contain at
least 22 who prefer contracting to a private company?
(b)  If the commissioner's claim is correct, what is the probability that exactly 22 would prefer
contracting to a private company?
(c)  If 100 city residents are randomly selected, how many would you expect to prefer contracting
to a private company. 

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