SOLUTION: 160 out of 1,000 adults contribute to charitable agencies on a regular basis. Find the probability that in a random sample of 12 adults, exactly five contribute to charitable agen

Algebra ->  Probability-and-statistics -> SOLUTION: 160 out of 1,000 adults contribute to charitable agencies on a regular basis. Find the probability that in a random sample of 12 adults, exactly five contribute to charitable agen      Log On


   



Question 934490: 160 out of 1,000 adults contribute to charitable agencies on a regular basis. Find the probability
that in a random sample of 12 adults, exactly five contribute to charitable agencies on a regular
basis.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
For each adult in the random sample, the probability that he/she contributes to charitable agencies on a regular basis is
160%2F1000=0.16 ,
and the probability that he/she does not contribute to charitable agencies on a regular basis is
1-0.16=0.84 .
The probability that exactly 5 of the 12 randomly selected contribute to charitable agencies on a regular is represented by the term in the binomial expansion of
%280.16%2B0.84%29%5E12
that has 0.16%5E5 .
The coefficient of that term is 12%2A11%2A10%2A9%2A8%2F%281%2A2%2A3%2A4%2A5%29=792 .
The term is
792%2A0.16%5E5%2A0.84%5E7=0.0245 (rounded).