A poll is given, showing 60% are in favor of a new building project. If 9 people are chosen at random, what is the probability that exactly 4 of them favor the new building project?

The probability that exactly 4 are in favor the new building project is 0.1672.

Step-by-step explanation:

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

The proportion of people who are in favor of a new building project is, p = 0.60.

A random sample of n = 9 people are chosen.

Every person has independent opinion about the new building project.

Thus, the random variable X follows a binomial distribution with parameters n = 9 and p = 0.60.

Compute the probability that exactly 4 are in favor the new building project as follows:

Thus, the probability that exactly 4 are in favor the new building project is 0.1672.

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step-by-step explanation:

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step-by-step explanation:

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