The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull distribution with parameters 2 and 3 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 ...

The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull

Question:

The lifetime X (in hundreds of hours) of a certain type of vacuum tube has a Weibull with parameters α = 2 and β = 3. Compute the following:
a. E(X) and V(X)
b. P(X ≤ 6)
c. P(1.5 ≤ X ≤ 6)
(This Weibull 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.)
Distribution
The word "distribution" has several meanings in the financial world, most of them pertaining to the payment of assets from a fund, account, or individual security to an investor or beneficiary. Retirement account distributions are among the most...