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We look at a system with m processors and n tasks to be solved. Each task is assigned to one of the m processors independently and uniformly, i. e., it is equally likely to be assigned to each of the processors.
a) What is the expected number of processors which have no task assigned to them?
b) What is the expected number of processors which have at least one task assigned to them?
c) What is the expected number of processors which have exactly one task assigned to them?

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We look at a system with m processors and n tasks to be solved. Each task is assigned to one of the...

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