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| Question 515232:  Trowbridge Manufacturing produces cases for personal computers and other electronic equipment. The quality control inspector for this company believes that a particular process is out of control. Normally, only 5% of all cases are deemed defective due to discolorations.  If 6 such cases are sampled, what is the probability that there will be 0 defective cases if the process is operating correctly? What is the probability that there will be exactly 1 defective case?
 Answer by stanbon(75887)
      (Show Source): 
You can put this solution on YOUR website! Normally, only 5% of all cases are deemed defective due to discolorations. If 6 such cases are sampled, what is the probability that there will be 0 defective cases if the process is operating correctly?
 What is the probability that there will be exactly 1 defective case?
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 Binomial Problems with n = 6 and p = 0.05
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 P(x = 0) = 0.95^6 = 0.7351
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 P(x = 1) = 6C1(0.05)^(0.95)^5 = 0.2321
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 Cheers,
 Stan H.
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