(a)Find the probability that the selected bulb can survive for at least 3 years. (b)Find the variance of the lifetime of the selected bulb.

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Suppose that lifetime of bulb of type n is exponentially distributed with mean
value n years, where n = 1, 2, 3, 4, 5.
A bulb is equally likely be chosen from these five types.
(a)Find the probability that the selected bulb can survive for at least 3 years.
(b)Find the variance of the lifetime of the selected bulb.
Transcribed Image Text:Suppose that lifetime of bulb of type n is exponentially distributed with mean value n years, where n = 1, 2, 3, 4, 5. A bulb is equally likely be chosen from these five types. (a)Find the probability that the selected bulb can survive for at least 3 years. (b)Find the variance of the lifetime of the selected bulb.
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