Question 992540: Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a probability of 0.70 and has failed with a probability of 0.30.
What is the probability that greater than 30 batteries will last at least 8 hours?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that 50 identical batteries are being tested. After 8 hours of continuous use, assume that a given battery is still operating with a
probability of 0.70 and has failed with a probability of 0.30.
What is the probability that greater than 30 batteries will last at least 8 hours?
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Binomial Problem with n = 50 and P(op) = 0.0.7
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P(31<=50) = 1 - P(0<=x<=30) = 1 - binomcdf(50,0.7,30) = 1-0.0848 = 0.9152
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Cheers,
Stan H.
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