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# Poisson Probability

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The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities.

a) The probability that at most 7 minutes is taken to produce the part.
b) The probability that between 5 and 15 minutes are taken to produce the part.
c) The probability that at least 3 minutes is taken to produce the part.

##### Solution Summary

The solution provides step by step method for the calculation of Poisson probabilties. Formula for the calculation and Interpretations of the results are also included.

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Quantitative Methods- Probability Problem
7) The average time taken to produce a part at Factory A is 10 minutes. Given this, find the following probabilities.
Let X be the time taken to produce the part at Factory A. Clearly X is Poisson with mean  = 10. The probability density function of Poisson random variable is given by
The probabilities for different values of X are given ...

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