# Poisson Probability

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.

https://brainmass.com/math/probability/quantitative-methods-probability-problem-416103

#### Solution Preview

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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.

Answers

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 ...

#### 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.