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In testing a new drug, researchers found that 5% of all patients using it will have...

In testing a new drug, researchers found that 5% of all patients using it will have a mild side effect. A random sample of 5 patients using the drug is selected. Find the probability that exactly two will have this mild side effect.

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SOLUTION: -

It's a binomial problem with n=5 and p = 0.05
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a) P(exactly two will have this mild side effect) = 5C2(0.05)^2*(0.95)^3  
= 10* 0.0025* 0.8573 = 0.02143​

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