SOLUTION: In testing a new drug, researchers found that 10% of all patients using it will have a mild side effect. A random sample of 14 patients using the drug is selected. Find the probabi

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Question 379163: In testing a new drug, researchers found that 10% of all patients using it will have a mild side effect. A random sample of 14 patients using the drug is selected. Find the probability that:

(A) exactly two will have this mild side effect
(B) at least three will have this mild side effect.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi,
Note: The probability of x successes in n trials is:
P = nCx* where p and q are the probabilities of success and failure respectively.
In this case p = .10 and q = .90
P(exactly 2 out of 14 will have side effects):
P = 14C2 (.10)^2(.90)^12 = 81 *(.10)^2(.9)^12 = .257
P(at least three will have side effects):
P = 1 - P(none) - P(one) - P(two) = 1- (.9)^14 - 17*(.1)^1(.9)^13 - 136*(.1)^2(.9)^12
P = 1 -.2288 - .3559 - .2570 = .1584
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