It has been found that 2% of the tools produced by a certain machine are defective. What is the probability that in a shipment of 400 such tools 2% or less will prove defective.
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It has been found that 2% of the tools produced by a certain machine are defective. What is the probability that in a shipment of 400 such tools 3% or more will prove defective?
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2 Answers
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Ankur Mehta, Digital Transformation Evangelist
Answered 3 years ago
While the Binomial is technically the right way to do this, for sufficiently large n and small p, the Poisson distribution offers an approximation that’s easier to compute.
So 2%*400 = 8
So the question is, given an poisson distribution of defectives with average =8, what is the probability we get 12 or more defective, or
1-cumulative probability of getting 11 or less defective
In excel use =1-poisson.dist(11, 8, TRUE)=11.2%
sorry I don't know the answer