random variable Assume that this variable has a Weibull dist

random variable. Assume that this variable has a Weibull distribution with

alpha = 0:01 and beta = 2.

a. What is the density for X?

c. What is the reliability function for this random variable?

d. What is the reliability of such a battery at t = 3 hours? At t = 12 hours? At t = 20 hours?

e. What is the Hazard rate function for these batteries?

f. What is the failure rate at t = 3 hours? At t = 12 hours? At t = 20 hours?

g. Is the hazard rate function an increasing or decreasing function? Does this seem to be reasonable from practical point of view? Explain.