SOLUTION: At a certain college, 30% of the students are math majors. If 10 students are selected at random, what is the probability that exactly 3 of them are math majors? Round your answer

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Question 607832: At a certain college, 30% of the students are math majors. If 10 students are selected at random, what is the probability that exactly 3 of them are math majors? Round your answer to three decimal places.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
P(X = x) = (n C x)*(p)^(x)*(1-p)^(n-x)

P(X = 3) = (10 C 3)*(0.3)^(3)*(1-0.3)^(10-3)

P(X = 3) = (10 C 3)*(0.3)^(3)*(0.7)^(10-3)

P(X = 3) = (120)*(0.3)^(3)*(0.7)^7

P(X = 3) = (120)*(0.027)*(0.0823543)

P(X = 3) = 0.266827932

P(X = 3) = 0.267