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8: Parametric Probability Distributions
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Core Algorithms
Find Operational Rules for a Data Center
A data center has 10000 disk drives and a disk fails on a given day with probability
. Find the number of disks to keep on-hand so that all failures in day can be replaced with probability 99.9%.
In[1]:=
X
prob = Probability[n <= k, n \[Distributed] PoissonDistribution[10^4 10^-3], Assumptions -> k \[Element] Integers]
Out[1]=
In[2]:=
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Minimize[{k, prob > 999/1000 && k < 30}, k, Integers]
Out[2]=