SOLUTION: A poll is given, showing 60% are in favor of a new building project. If 5 people are chosen at random, what is the probability that exactly 3 of them favor the new building proj

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Question 1180098: A poll is given, showing 60% are in favor of a new building project.
If 5 people are chosen at random, what is the probability that exactly 3 of them favor the new building project?
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is the binomial type probability distribution.


The number of trial n= 5; the probability of the success trial is  0.6,  and the number of success trial k = 3. 


    P = C%5B5%5D%5E3%2A0.6%5E3%2A%281-0.6%29%5E%285-3%29 = %28%285%2A4%29%2F%281%2A2%29%29%2A0.6%5E3%2A0.4%5E2 = 0.3456 (rounded).     ANSWER

Solved.

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To see many other similar  (and different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
in this site.


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