SOLUTION: An electronics manufacturer has found that only 1 out of 500 of its television sets is defective. You are ordering a shipment of television sets for the electronics store where you
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Question 427924: An electronics manufacturer has found that only 1 out of 500 of its television sets is defective. You are ordering a shipment of television sets for the electronics store where you work. How many television sets can you order before the probability that at least on defective set reaches 60%? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! An electronics manufacturer has found that only 1 out of 500 of its television sets is defective. You are ordering a shipment of television sets for the electronics store where you work. How many television sets =can you order before the probability that at least on defective set reaches 60%?
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Binomial with n = unknown, p(defect) = 1/500, p(good)= 499/500
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P(at least one defective) = 1 - P(none defective)
= 1 - (499/500)^n
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Solve: 1-(499/500)^n >= 0.60
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(499/500)^n <= 0.4
n <= log(0.4)/log(499/500)
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n <= 457.69
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Maximum order: n = 457
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Cheers,
Stan H.
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