(a)A lamp has two bulbs, each of a type with average lifetime 1,700 hours. Assuming that we can model the probability of failure of a bulb by an exponential density function with mean ? = 1,700, find the probability that both of the lamp's bulbs fail within 1,700 hours. (Round your answer to four decimal places.) (b)Another lamp has just one bulb 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 1,700 hours. (Round your answer to four decimal places.) (a) A lamp has two bulbs, each of a type with average lifetime 1,700 hours. Assuming that we can model the probabilityof failure of a bulb by an exponential density function with mean μ = 1,700, find the probability that both of thelamp's bulbs fail within 1,700 hours. (Round your answer to four decimal places.)0.399576(b) Another lamp has just one bulb of the same type as in part (a). If one bulb burns out and is replaced by a bulb of thesame type, find the probability that the two bulbs fail within a total of 1,700 hours. (Round your answer to fourdecimal places.)0.418023

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Answered: (a) A lamp has two bulbs, each of a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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(a)

A lamp has two bulbs, each of a type with average lifetime 1,700 hours. Assuming that we can model the probability of failure of a bulb by an exponential density function with mean ? = 1,700, find the probability that both of the lamp's bulbs fail within 1,700 hours. (Round your answer to four decimal places.)

(b)

Another lamp has just one bulb 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 1,700 hours. (Round your answer to four decimal places.)