A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 30% of this population prefers the color green. If 18 buyers are randomly selected, what is the probability that at most 5 buyers would prefer green? Round your answer to four decimal places
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 30% of this population prefers the color green. If 18 buyers are randomly selected, what is the probability that at most 5 buyers would prefer green? Round your answer to four decimal places
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 30% of this population prefers the color green. If 18 buyers are randomly selected, what is the
Expert Solution
Step 1
Given that,
The random variable is the color preferences of new car buyers.
30% population prefers green.
The probability of success is 0.30
The 18 buyers are randomly selected.
The buyers are selecting the color independently.
Therefore it is a binomial distribution.
The p.m.f of the binomial distribution is as follows,
The combination is as follows,
The factorial is as follows,
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