Got a Pet? In a neighborhood of 95 homes, 35 have pets. Suppose that 12 homes are selected at random. The random variable X represents the number of homes in the sample that have pets. (a) What is the probability of obtaining 8 homes with a pet? (b) What is the probability of obtaining 9 homes with a pet? (c) What is the probability of obtaining 12 homes with a pet? Would it be unusual to select 12 homes that have a pet?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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18. This is a  Hypergeometric Distribution problem. Please solve it and make sure to solve all parts, and use the correct formulas, and provide the steps neatly. 

18. Got a Pet? In a neighborhood of 95 homes, 35 have pets.
Suppose that 12 homes are selected at random. The random
variable X represents the number of homes in the sample
that have pets.
(a) What is the probability of obtaining 8 homes with a pet?
(b) What is the probability of obtaining 9 homes with a pet?
(c) What is the probability of obtaining 12 homes with a pet?
Would it be unusual to select 12 homes that have a pet?
Transcribed Image Text:18. Got a Pet? In a neighborhood of 95 homes, 35 have pets. Suppose that 12 homes are selected at random. The random variable X represents the number of homes in the sample that have pets. (a) What is the probability of obtaining 8 homes with a pet? (b) What is the probability of obtaining 9 homes with a pet? (c) What is the probability of obtaining 12 homes with a pet? Would it be unusual to select 12 homes that have a pet?
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