Question 526309
As a promotion, a certain car dealer gave away a free watch to anyone who visited his dealership and test drove a car. But 5% of the watches were defective.
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Binomial problems with n = 50 and p(defective) = 0.05
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a. Find the probability that among 50 such watches selected at random, exactly one is defective.
P(x=1) = 50C1*0.05*0.95^49 = 0.2025
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b. Find the probability that among 50 such watches selected at random, none is defective.
P(x = 0) = 0.95^50 = 0.0759
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c. Find the probability that among 50 such watches selected at random, at least one is defective.
P(x>=1) = 1-P(x=0) = 1-0.0759 = 0.9231
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Cheers,
Stan H.
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