Assum e that there is a 10% rate of disk drive failure in a year. a. If all your

Question

Assum e that there is a 10% rate of disk drive failure in a year. a. If all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. If copies of all your computer data are stored on three independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive? a. With two hard disk drives, the probability that catastrophe can be avoided is (Round to four decimal places as needed.) b. With three hard disk drives, the probability that catastrophe can be avoided is Round to six decimal places as needed.)

Explanation / Answer

Answers to questions asked:
(a)

0.9900

(b)

0.999000

EXPLANATION:

(a)

Probability of disk drive failure = p = 0.10

Probability of both disk drives failure = p2 = 0.102 = 0.01

So,

With two hard disks, the probability that catastrophe can be avoided is = 1 - 0.01 = 0.9900

(b)

Probability that all the three hard disks failure = p3 = 0.13 = 0.001

So,

With three hard disk drives, the probability that catastrophe can be avoided is = 1 - 0.001 = 0.999000

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