2. Suppose that the cumulative distribution function of the lifetime of a piece ofoperating equipment is given byF(t) = 1 – e-0.61 – 0.6te¬0.61where t is measured in years of continuous operation.a. Determine the reliability function.b. Determine the failure rate function.c. What is the probability that this piece of equipment fails in the first year ofoperation?d. What is the probability that this piece of equipment fails in the fifth year ofoperation?e. What proportion of the equipment surviving four years fails in the fifth year?(Calculate without using the failure rate function.)f. Does r(4) closely approximate the answer to part (e)? Why or why not?g. What proportion of the equipment surviving four years fails in the first monthof the fifth year? (Calculate using the failure rate function.)

a) The distribution function of lifetime T Calculation of reliability function

Answered: 2. Suppose that the cumulative…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

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Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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