Question

In a recent survey, 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center.

Answer 1

The probability is 0.196

Explanation:

In a recent survey, 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center.

According to the scenario, 70% of the community favoured in building a health centre.

Hence , p=0.7.

In order to find the probability, binomial theorom will be used as follows :

`((14)/(9))(0.7)^(9) (0.3)^(5)`

= 0.196

Hence, The probability is 0.196