SOLUTION: If 60% of the population has brown eyes and we randomly select 12 people, what is the probability that exactly 4 of them have brown eyes

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Question 422448: If 60% of the population has brown eyes and we randomly select 12 people, what is the probability that exactly 4 of them have brown eyes
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Note: The probability of x successes in n trials is: 

P = nCx* p%5Ex%2Aq%5E%28n-x%29 where p and q are the probabilities of success and failure respectively. 

In this case p =.6 and q = .4

nCx = n%21%2F%28x%21%28n-x%29%21%29

60% of the population has brown eyes and we randomly select 12 people

P(exactly 4 of them have brown eyes)= 495(.6)^4(.4)^8 = .042