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The number of occupied memory locations for an article in a warehouse is approximately POISSON-distributed with...

The number of occupied memory locations for an article in a warehouse is approximately POISSON-distributed with λ = r · t: r = 0.05h-1 (average arrival rate) t = 160h (average storage time) a) How many memory locations are occupied on average? b) How many storage locations does the warehouse need to be able to store all incoming components (for example in pallet form) with 95% certainty?

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Answer #1

A.

\lambda = 0.05*160

= 8

B.

P(X \leq x) = 0.95

Then,

x = 13

Formula Used:

Poisson Distribution Formula -2. Р(X - х) х! where х 3D 0, 1, 2, 3, ... mean number of occurrences in the interval e Eulers

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