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?
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 5SE: What does the y -intercept on the graph of a logistic equation correspond to for a population...
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Transcribed Image Text: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?
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