with an average lifetime of 1700 hours. Assuming that we can model the probabili

Question

with an average lifetime of 1700 hours. Assuming that we can model the probability of failure of these bulbs by an exponential density (a) A lamp has two bulbs of a type function with mean u 1700, find the probability that both of the lamp's bulbs fail within 1600 hours. (Round your answer to four decimal places.) b) Another lamp has just one builb of the same type as in part (a). If one bulb burns out and is replaced by a bulb of the same type, find the probability that the two bulbs fail within a total of 1600 hours. (Round your answer to four decimal places.) Need Help?

Explanation / Answer

Solution:(a)

P( x < 1600) = 1 - e-(1600/1700) =0.6098

For 2 bulbs = (0.6098)(0.6098) = 0.3719

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