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COS3721 Assignment 3 SOLUTIONS 2022 [Unique No.:847386]
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COS3721Assignment 3
2022
Unique No.: 847386
Due Date: 19 September 2022
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Question 1
a) Probability of 1 failure of 1000 hard disk = 750,000/1000 = 750 hrs
So, 750/24 = 31.25 days
So answer is approx. one in a month.
b) 1 million hours is approximately 114 years, but we cannot say that warranty of product is 114
years, MBTF is a experiment and statistical approach to find the mean time between the failures
But we can find using below formula what is the probability of product performing of certain years
without failure
R(t) = e –t/mtbf
therefore probabilities for lasting years are given below
1 year
%R(1) = 100 * e –8760hrs /1 million = 99.12
similarly for
2 years 98.26%
3 years 97.40%
and so on..
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