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A munitions warehouse contains 50 bombs, of which 3 are defective (6%). A sample of 10...

A munitions warehouse contains 50 bombs, of which 3 are defective (6%). A sample of 10 bombs is drawn and tested. What is the probability that the sample will contain at most 1 defective bomb?

Math   Statistics-And-Probability   
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Answer #1

P (Defective) = P(D) = 3/50 = 6% = 0.06

N= 10

Find P (at most 1 defective bomb) = Probability of 0 defective bomb + Probability of 1 defective bomb

So we need to find probability for x= 0 and x= 1

P(0)=0.5386151140949

P(1) = 0.34379688133717

P (at most 1 defective bomb) = P(0) + P(1) = 0.88241199543207

P (at most 1 defective bomb) = 0.8824

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