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Time to failure of a machine follows T~Weib(t; alpha=1.4, beta =50 minutes). a. Indicate whether the...

Time to failure of a machine follows T~Weib(t; alpha=1.4, beta =50 minutes).

a. Indicate whether the failure rate of the machine is increasing, decreasing, or constant with time, and the reason for your conclusion

b. Pr(T≤ 15 minutes)?

c. Pr(T ≤ 30 | T > 15 )?

d. MTTF?

e. T0.2?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

The Weibull PDF is . Here and

a) The failure rate is

Taking derivative,

Hence the failure rate is increasing.

b) The probability,

c) The probability,

d) The MTTF or expected value is

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