In a recent survey, 60% of the community favored building a police substation in their neighborhood...

Explanation, not just answer please.

In a recent survey, 60% of the community favored building a police substation in their
neighborhood. If 14 citizens are chosen, find the probability that exactly 9 of them favor
the building of the police substation.

This is what is known as the binomial probability. The probability that 'a' student will favor building a police substation in their neighborhood is 60% of .60. You select 14 citizens and want to compute the probability that out of the 14, exactly 9 will favor the building of the police substation.

Let n = number in the sample
p = probability of success (here success is favoring the building of the police substation.)
x= how many out of n

P(x=k) = nCk p^k (1-p)^(n-k)

Plug in the proper numbers into the formula to evaluate the probability
n=14; k=9; p=0.6

P(x=9) = 14C9 (0.6)^9 (0.4)^5 = 0.2066

i dont know whether it is the right answer
let total citizens =100
probability of choosing 14 citizen = 14/100
no. of citizens favouring building a police substation in their neighborhood = 60
therfore the probability that exactly 9 of them favor the building of the police substation =(14/100) x (9/60) =126 / 6000 =21 / 1000