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A data center has 10,000 disk drives. Suppose that a disk drive fails in a given day with probability 103. (a) Find the probability that there are no...

A data center has 10,000 disk drives. Suppose that a disk drive fails in a given day with probability
10¡3.
(a) Find the probability that there are no failures in a given day.
(b) Find the probability that there are fewer than 10 failures in two days.
(c) Find the number of spare disk drives that should be available so that all failures in a day can be
replaced with probability 99%.

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