A poll is given, showing 60% are in favor of a new building project. If 7 people

Question

A poll is given, showing 60% are in favor of a new building project.
If 7 people are chosen at random, what is the probability that exactly 1 of them favor the new building project?
A poll is given, showing 60% are in favor of a new building project.
If 7 people are chosen at random, what is the probability that exactly 1 of them favor the new building project?
A poll is given, showing 60% are in favor of a new building project.
If 7 people are chosen at random, what is the probability that exactly 1 of them favor the new building project?

Explanation / Answer

We have given p=0.60 , n = 7  

We can use here binomial probability distribution

P[x=1] = C(7,1)*(0.60)^1*(1-0.60)^6

=0.0172

the probability that exactly 1 of them favor the new building project is 0.0172

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