In a recent​ survey,77 ​% 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. Round to the nearest three decimal places.

Respuesta :

The probability of that exactly 8 of them favor the building of the health center is 0. 399

How to determine the probability

From the information given, we have that 70% of the community favors the building of the health center

Number of citizens chosen = 14

P(8) = [tex]\frac{8}{14}[/tex] × [tex]\frac{70}{100}[/tex]

P(8)  = [tex]0. 57[/tex] × [tex]0. 7[/tex]

P(8) = [tex]0. 399[/tex]

Thus, the probability of that exactly 8 of them favor the building of the health center is 0. 399

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