mathxlcom Amber M rk Section 45 Even HW x Score 0 of 1 pt Hw

mathxl.com Amber M rk: Section 4.5 Even HW x. Score: 0 of 1 pt Hw score: 80% (8 of 10 pts) 9 of 10 complete Assume that there is a 7% 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.) hard disk drives, the probability that catastrophe can be avoided is .

Solution

P(failure of a hard disk drive) = 7% = 0.07

a) P(Both the hard disk drive fails) = 0.07 x 0.07 = 0.0049

P(with two hard disk drive, catastrophe can be avoided with atleast one drive working) = 1-P(Both the hard disk drive fails) = 1-0.0049 = 0.9951

b) P(all the 3 hard disk drive fails) = 0.07 x 0.07 x 0.07 = 0.0003

P(with two hard disk drive, catastrophe can be avoided with atleast one drive working) = 1-P(all the 3 hard disk drive fails) = 1-0.0003= 0.9997