SOLUTION: Exercise. A machine has averaged a 97 percent pass rate per day. What is the probability of having more than 7 defective products in one day?

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Question 1076550: Exercise. A machine has averaged a 97 percent pass rate per day. What
is the probability of having more than 7 defective products in one day?

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
the probability of failing the test is 1 -0.97 = 0.03
:
Use Poisson probability distribution
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The probability that there are
r occurrences in a given interval = lamda^r * e^-lamda / r!, where e = 2.7128 and lamda is the mean number of occurrences in a time period
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use a Poisson distribution calculation
:
P( X > or = 7 ) = 9.9E^-13
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