Assume that there is a 8% 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.)

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Assume that there is a 8% 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.)
Transcribed Image Text:Assume that there is a 8% 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.)
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