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Poisson Process for demands for an item on a warehouse

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Demands for an item are part of a poisson process and are made on a warehouse 3 times per day. What is the probability that on a given day this item is requested:

a) more than 4 times per day
b) more than 4 times in 3 days?

The professor gave the answers as:
a) 8.4%
b) 94.5%

.

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Solution Summary

The required probabilities are calculated.

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mu = 3

(a) x = 4

P(x) = e^-mu * mu^x / x!

P(x > 4) = 1 - P(x <= 4) = 1 - [P(0) + P(1) + P(2) + P(3) + P(4)]

= 1 - ...

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