Assume that there is a 55 % 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 threethree 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 nothing. (Round to four decimal places as needed.) b. With threethree hard disk drives, the probability that catastrophe can be avoided is nothing. (Round to six decimal places as needed.)

Question

Mathematics

Angeline

20 July, 21:38

Assume that there is a 55 % 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 threethree 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 nothing. (Round to four decimal places as needed.) b. With threethree hard disk drives, the probability that catastrophe can be avoided is nothing. (Round to six decimal places as needed.)

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Answers (1)

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Tobias Wilkins · Answer 1

a. 0.6975

b. 0.833625

Step-by-step explanation:

a. The probability of both drives failing is 0.55² = 0.3025, so the probability that both drives won't fail is 1 - 0.3025 = 0.6975.

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b. The probability of all three drives failing is 0.55³ = 0.166375, so the probability that all three drives won't fail is 1 - 0.166375 = 0.833625.