The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters α and β . Compute the following:
a. E(X) and V(X)
b. P(X ≤ 6)
c.P(1.5 ≤ X ≤ 6)
(This Weibull distribution is suggested as a model for time in service in “On the Assessment of Equipment Reliability: Trading Data Collection Costs for Precision,” J. of Engr. Manuf., 1991: 105–109.)
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