Mean time between two consecutive bulb failures

Assignment Help Basic Statistics

Reference no: EM131828530

Alan is conducting an experiment to test the mean lifetimes of two sets of electric bulbs labeled A and B. The manufacturer claims that the mean lifetime of bulbs in set A is 200 hours, while the mean lifetime of the bulbs in set B is 400 hours. The lifetimes for both sets are exponentially distributed. Alan's experimental procedure is as follows. He started with one bulb from each set. As soon as a bulb from a given set fails (or burns out), he immediately replaces it with a new bulb from the same set and writes down the lifetime of the burnt-out bulb. Thus, at any point in time he has two bulbs on, one from each set. If at the end of the week Alan tells you that 8 bulbs have failed, determine the following:

a. The probability that exactly 5 of those 8 bulbs are from set B

b. The probability that no bulb will fail in the first 100 hours

c. The mean time between two consecutive bulb failures

Reference no: EM131828530

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