Question

The length of time in hours that a certain part lasts follows a Weibull distribution with...

The length of time in hours that a certain part lasts follows a Weibull distribution with parameters α = 2 and β = 2.

a. What are the mean and standard deviation of this distribution?

b. What is the probability that the part lasts less than 1 hour?

c. What is the equation for the failure rate of the part?

d. If the distribution is actually Gamma instead of Weibull find the equation for the failure rate of the part

e. Create a graph of each function (from B and C) on the same axis and compare the results (i.e. is there much of a difference? How do the slopes change?)

Math   Statistics-And-Probability   
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