A poll is given, showing 60% are in favor of a new building project. If 8 people are chosen at random, what is the probability that greater than 3 of them favor the new building project?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 50E: Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the...
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A poll is given, showing 60% are in favor of a new building project.
If 8 people are chosen at random, what is the probability that greater than 3 of them favor the new
building project?
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Transcribed Image Text:A poll is given, showing 60% are in favor of a new building project. If 8 people are chosen at random, what is the probability that greater than 3 of them favor the new building project? Submit Question
Expert Solution
Step 1

Given p =0.6 and n=3

 

P(X>3)=1-P(X<3)               =1-Cxn px(1-p)n-x                                = 1-C38 (0.6)3(1-0.6)8-3                               = 1-0.17367                = 0.82633                   

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