Please help with part B. Assume that there is a ​% 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 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 0.9879. ​(Round to four decimal places as​ needed.) b. With hard disk​ drives, the probability that catastrophe can be avoided is ----. ​(Round to six decimal places as​ needed.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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7. Please help with part B.

Assume that there is a ​% 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 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 0.9879. ​(Round to four decimal places as​ needed.)

b. With hard disk​ drives, the probability that catastrophe can be avoided is ----. ​(Round to six decimal places as​ needed.)

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