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%.

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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