Assignment:
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-0.0013t1.83
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?
Provide complete and step by step solution for the question and show calculations and use formulas.