SOLUTION: It is known that a certain drug causes side effects in 12 % of patients. If we consider a random sampling of 12 patients, what is the probability less than two have the side eff

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Question 1208361: It is known that a certain drug causes side effects in 12
% of patients. If we consider a random sampling of
12 patients, what is the probability less than two have the side effect?

Answer by ikleyn(52756) About Me  (Show Source):
You can put this solution on YOUR website!
.
It is known that a certain drug causes side effects in 12
% of patients. If we consider a random sampling of
12 patients, what is the probability less than two have the side effect?
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Binomial distribution.

The number of trials 12.

The probability of success in each individual trial is p = 0.12.

The number of successive trials is less than 2, i.e. 0 or 1.


Standard formula

    P = C%5B12%5D%5E0%2Ap%5E0%2A%281-p%29%5E12+%2B+C%5B12%5D%5E1%2Ap%5E1%2A%281-p%29%5E11 = 1%2A0.12%5E0%2A%281-0.12%29%5E12+%2B+12%2A0.12%5E1%2A%281-0.12%29%5E11 = 0.5686 (rounded).

Solved.