Question 417678: In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 13 patients using the drug is selected. Find the probability that:
(A) exactly three will have this mild side effect
(B) at least two will have this mild side effect.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 13 patients using the drug is selected. Find the probability that:
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Binomial Problem with n = 13 and p = 0.05
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(A) exactly three will have this mild side effect
P(x= 3) = 13C3(0.05)^3(0.95)^10 = 0.0214
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(B) at least two will have this mild side effect.
P(2<= x <=13) = 1 - binomcdf(13,0.05,1) = 0.1354
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Cheers,
Stan H.
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