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Assume that there is a 11​% rate of disk drive failure in a year. a. If...

Assume that there is a 11​% 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 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

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Answer #1

a) With two hard disk drives,

P(Avoid catastrophe)

= P(Atleast one working)

= 1 - P(Both fails)

= 1 - (0.11)2

= 0.9879

b) With three hard disk drives,

= P(Atleast one working)

= 1 - P(All three fails)

= 1 - (0.11)3

= 0.998669

Note - I have written the exact answers. Please round off the probabilities as per the question demands.

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