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A poll is given, showing 35% are in favor of a new building project. If 8...

A poll is given, showing 35% are in favor of a new building project.

If 8 people are chosen at random, what is the probability that exactly 3 of them favor the new building project?

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Answer #1

Here p=0.35 is same for all, n=8 is constant

Events are independent and only two outcomes

Hence all the properties of binomial are satisfied

So we will use excel formula of binomial to find required probability

P(x=3)=BINOMDIST(3,8,0.35,0)=0.2786

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