SOLUTION: according to a study done by Nick Wilson of all to go University, Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267.

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Question 1204217: according to a study done by Nick Wilson of all to go University, Wellington, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267. What is the probability that among 16 randomly observed individuals exactly 8 do not covers their mouth and sneezing
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

This problem is a standard application of binomial distribution - so, use the standard formula

    probability  P = C%5B16%5D%5E8%2A0.267%5E8%2A%281-0.267%29%5E%2816-8%29 = 12870%2A0.267%5E8%2A0.733%5E8 = 0.0277  (rounded).    ANSWER

Solved.