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A poll is given, showing 80% are in favor of a new building project. If 7...

A poll is given, showing 80% are in favor of a new building project. If 7 people are chosen at random, what is the probability that exactly 6 of them favor the new building project?

Math   Statistics-And-Probability   
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Answer #1

In a particular poll 80% are in favor of a new building project.

n = sample size = 7

Also the persons are selected randomly.

Let X = number of people who are  in favor of a new building project.

Therefore X follows binomial distribution with parameter n = 7, and p = 08

Here we want to find the probability that exactly 6 of them favor the new building project.

Mathematically, P(X = 6)

Plug k = 6, n = 7 and p = 0.8 in the above formula, we get.

Therefore, final answer is 0.3670

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