A local manufacturer of copying equipment includes a repair warranty w

Douglas Kraatz

Douglas Kraatz

Answered question

2021-12-02

A local manufacturer of copying equipment includes a repair warranty with each copier. Virtually all of his equipment exhibit an increasing failure rate. Based on historical repair data, the failure rate for Model 25cc7 is accurately described by the function r(t)=2.7786t1.3, where t is measured in months of continuous operation. What is the probability that the time between two successive failures of this equipment exceeds two months of operation?

Answer & Explanation

oces3y

oces3y

Beginner2021-12-03Added 21 answers

Step 1
r(t)=2.7786t1.3
αβtβ1=2.7786t1.3
β1=1.3
β=2.3
α=2.77862.3
=1.2081
Step 2
The probability that the time between two successive failures of this equipment exceeds two months of operation is calculated as follows:
P(T>212)=P(T>0.1667)
=eαtβ
=e1.2081t2.3
=0.9806

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