Assume that there is a 1111​% 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 fourfourindependent 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 fourfourhard disk​ drives, the probability that catastrophe can be avoided isnothing.​(Round to six decimal places as​ needed.)

Question
Asked Feb 21, 2019
Assume that there is a
1111%
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
fourfour
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
fourfour
hard disk drives, the probability that catastrophe can be avoided is
nothing.
(Round to six decimal places as needed.)
check_circleExpert Solution
Step 1

In this question, It has given that probability disk drive will fail is 0.11 and probability that disk drive is working = 1 – 0.11 = 0.89.

P = Disk drive is working = 0.89

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Step 2

Part a) If computer data is stored in two drives than find the probability that catastrophic risk can be avoided by with at least one working drive.

n = 2

p = 0.89

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Step 3

 Part b) If computer data is stored in four drives than find the probability that catastrophic risk ...

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