2. Suppose that the cumulative distribution function of the lifetime of a piece of operating equipment is given by F(t) = 1 – e-0.61 – 0.6te¯0.61 where 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 of operation? d. What is the probability that this piece of equipment fails in the fifth year of operation?

2. Suppose that the cumulative distribution function of the lifetime of a piece of operating equipment is given by F(t) = 1 – e-0.61 – 0.6te¯0.61 where 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 of operation? d. What is the probability that this piece of equipment fails in the fifth year of operation?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter1: Functions

Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy

Problem 2EA

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