SOLUTION: The probability that a person gets selected in the Police Academy is 0.32. What is the probability that out of 5 randomly selected people, at most 2 persons are selected? Draw a

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Question 1125526: The probability that a person gets selected in the Police Academy is 0.32. What is the probability
that out of 5 randomly selected people, at most 2 persons are selected? Draw a tree diagram for
this problem.
Answer by ikleyn(52782) About Me  (Show Source):
You can put this solution on YOUR website!
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At most 2 persons are selected = 0 selected + 1 selected + 2 selected.


P(0 selected) = %281-0.32%29%5E5 = 0.68%5E5 = 0.14539.


P(1 selected) = C%5B5%5D%5E1%2A0.68%5E4%2A0.32 = 5%2A0.68%5E4%2A0.32 = 0.34210.


P(2 selected) = C%5B5%5D%5E2%2A0.68%5E3%2A0.32%5E2 = 10%2A0.68%5E3%2A0.32%5E2 = 0.32198.



P(At most 2 persons are selected) = 0.14539 + 0.34210 + 0.32198 = 0.8095 = 80.95%.

Solved.