To be calculated:
Number of units failed during the following one year
Given values:
Number of heart pacemakers = 110
Number of hours of testing = 5000 hours
Number of pacemakers failed = 5
Non-operating time for 5 failed pacemakers = 2500 hours (as they failed halfway through the testing time)
Number of people to receive pacemakers implants = 1100
Solution:
Failures per unit hour is calculated as;
FR(N) = Number of failures / (Total time – Non-operating time)
Total time = 5000 hours x 110 units = 550000 unit hours
Non-operating time = 2500 x 5 = 12500 unit hours
Putting these values in the above formula, we get;
FR(N) = 5 / (550000 – 12500)
FR(N) = 5 / 537500
FR(N) = 0.000009302 failures per unit hour
Failures per unit year is calculated as;
Failures per unit year = FR(N) x 24 hours/day x 365 days/year
Failures per unit year = 0.000009302 x 24 x 365
Failures per unit year = 0.08149 per unit year
Now, the number of units failed during the following one year for 1100 pacemaker implants is calculated as;
Failures per year = Number of pacemaker implants x Failures per unit year
Failures per year = 1100 x 0.08149
Answer: Failures per year for 1100 pacemaker implants = 89.64