A sample of high-capacity resistors is tested until failure, Computer Networking

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A sample of high-capacity resistors is tested until failure

Question: A sample of high-capacity resistors is tested until failure and the results fitted to a Weibull probability model. Based on these tests, the reliability function of a resistor is estimated to be

R(t) = e^0.0013^{t^1.83}

a. What is the failure rate function for these resistors?

b. Is this resistor more likely to fail as it ages?

c. What is the probability that a resistor will function for more than 30 hours without failure?

d. Suppose that a resistor has been operating for 50 hours. What is the probability that it fails in the 51st hour?

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