Show that the MTTF of a time to a failure distribution random
variable of T can be also expressed in the following form.
Hint: The relationship between pdf, CDF or 1- R(t), and basic integration by part knowledge is needed to show the above equation holds.
Homework Answers
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Show that the MTTF of a time to a failure distribution random
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Assume the continuous random variable X follows the uniform
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Suppose the random variable X represents the time to failure
(in thousands of miles driven) of the signal lights on an
automobile, and that X has a Weibull distribution with alpha =
.0125 and Beta = 2/3.
A) What is the probability that the signal lights function for
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B) For how many miles can the signal lights be expected to
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s. Suppose the random variable represents the time to failure (in thousands of miles driven)...
5. (15 Points) Let T be a random variable that is the time to failure (in years) of certain type of electrical component. T has an exponential probability density function f(x,A) =e, if >0 10, otherwise. Compute the probability that a given component will fail in 5 years or less.
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