The life (in months) of a certain electronic computer part has a probability density function defined by

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The life (in months) of a certain electronic computer part has a probability density function defined by

Find the probability that a randomly selected component will last the following lengths of time.
(a) At most 12 months
(b) Between 12 and 20 months
(c) Find the cumulative distribution function for this random variable.
(d) Use the answer to part (c) to find the probability that a randomly selected component will last at most 6 months.

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