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A series of 20 jobs arrive at a computing center with 50 processors

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A series of 20 jobs arrive at a computing center with 50 processors. Assume that each of the jobs is equally likely to go through any of the processors.

(a) Find the probability that a processor is used at least twice.

(b) What is the probability that at least one processor is idle?

(c) If any processor can handle at most four jobs without being overloaded,

what is the probability of an overload?