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?
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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