SOLUTION: The probability that any given person is allergic to a certain drug is .03. What is the probability that none of the 3 randomly selected persons is allergic to this drug? Assume th

Algebra ->  Probability-and-statistics -> SOLUTION: The probability that any given person is allergic to a certain drug is .03. What is the probability that none of the 3 randomly selected persons is allergic to this drug? Assume th      Log On


   

Question 510593: The probability that any given person is allergic to a certain drug is .03. What is the probability that none of the 3 randomly selected persons is allergic to this drug? Assume that all 3 persons are independent.
Also if you could explain how to solve this problem I would very much appreciate it.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The probability that any given person is allergic to a certain drug is .03. What is the probability that none of the 3 randomly selected persons is allergic to this drug? Assume that all 3 persons are independent.
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P(allergic) = 0.03
P(not allergic) = 0.97
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Since the condition for individuals is independent,
P(not allergic AND not allergic AND not allergic)
= 0.97*0.97*0.97
= 0.9127
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Cheers,
Stan H.
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