Hi, could you please answer this question by using excle with full details and s

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Hi, could you please answer this question by using excle with full details and showin formulas please. thank u

1 )- Your company manufactures internal defibrillators which are inserted into patients who are prone to have irregular heart rhythms. Each defibrillator requires a 1000 accelerated burn in period. You're testing a batch of 30 units and had the following results. One failed at 200 hours, 3 failed at 600 hours, 1 failed at 700 hours, one faiiled at 750 hours and 1 failed at 800 hours. The remaining units successfully completed the1000 hour test. The failure mode is the need to replace the battery.

a. What is the battery failure rate for this batch of defibrillators?

b. What is the MTTF for this batch of defibrillators?

2)- You're in charge of an operation that manufactures steel dowels with a specification of 100 mm +/- 1 mm in length. You're concerned about the quality in your process and have taken the following samples. What is the probability of exceeding the maximum dimension?

Sample Measurement 1 100.15 2 99.85 3 99.75 4 99.15 5 100.25 6 101.05 7 98.9 8 100.15 9 100.05 10 99.95 11 98.85 12 100.5 13 100.75 14 100.65 15 99.75 16 100.05 17 99.25 18 101.15 19 98.95 20 99.95 21 100.15 22 100 23 100.15 24 99.95 25 101.05

Explanation / Answer

1)

a)

Total number of failures = 7

Total hours of operation = 1*200 + 3*600 + 1*700 + 1*750 + 1*800 + (30-7)*1000 = 27250 hours

Failure rate, = Total number of failures / Total hours of operation

= 7 / 27250

= 0.0002569 per hour

b) MTTF = 1/ = 3893 hours

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