12. Assume that there is a 10% rate of disk drive failure in a year. a. If all y
ID: 3069364 • Letter: 1
Question
12. Assume that there is a 10% 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.) ID: 4.5.29Explanation / Answer
Ans:
Probability of failure of a hard disk=0.1
a)With two hard disk drives
P(atleast one working)=1-P(none is working)=1-P(both fails)=1-0.1*0.1=1-0.01=0.99
b)with three har disk drives
P(atleast one working)=1-P(none is working)=1-P(all fails)=1-0.1*0.1*0.1=1-0.001=0.999
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