A system consists of two components connected in series. The system will fail when either of the two components fails. Let Tbe the time at which the system fails. Let X1and X2be the lifetimes of the two components. Assume that X1and X2are independent and that each has the Weibull distribution with ? = 2 and ?= 0.2.
a. Find 
b. Find 
c. Explain why the event T > 5 is the same as the event 
d. Find P(T < 5).
e. Let t be any positive number. Find P(T ? t),which is the cumulative distribution function of T.
f. Does T have a Weibull distribution? If so, what are its parameters?
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