uppose that the longevity of a light bulb is exponential with a mean lifetime of eight...

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uppose that the longevity of a light bulb is exponential with amean lifetime of eight years. (a) Find the probability that a lightbulb lasts less than one year. (Round your answer to four decimalplaces.) (b) Find the probability that a light bulb lasts betweensix and ten years. (Round your answer to four decimal places.) (c)Seventy percent of all light bulbs last at least how long? (Roundyour answer to two decimal places.) yr (d) A company decides tooffer a warranty to give refunds to light bulbs whose lifetime isamong the lowest three percent of all bulbs. To the nearest month,what should be the cutoff lifetime for the warranty to take place?(Round your answer up to the next month.) months (e) If a lightbulb has lasted seven years, what is the probability that it failswithin the eighth year. (Round your answer to four decimalplaces.)

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Let X be the random variable denoting the longevity of a lightbulbThen X Exp 18 1MeanaProbability that a light bulb lasts less than one year PX 1 1 exp18 By CDF of exponential See Answer

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