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Question: assuming x is a random variable following the exponential distribution...

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Assuming X is a random variable following the exponential distribution as 0.le 0lk x20 f (x)- otherwise Please (1) draw the probability density function curve; (2) draw the cumulative distribution function (3) If the light bulb follows the exponential distribution with mean life time of 10 months. Please estimate the probability that this bulb will fail by the end of 10 months (4) based on sub-problem (3), pleas estimate the probability that this bulb will be good in moths 11 and 12.

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