I need help with this question. (a) A lamp has two bulbs, each of a type with average lifetime 1,500 hours. Assuming that we can model the probabilityof failure of a bulb by an exponential density function with mean μ = 1,500, find the probability that both of thelamp's bulbs fail within 1,600 hours. (Round your answer to four decimal places.)0.4301(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 1,600 hours. (Round your answer to fourdecimal places.)0.3047X

a) Given that,There is a lamp with two bulbs, each of a type with an average lifetime of 1500…

of a type with average lifetime 1,500 hours. Assuming that we can n xponential density function with mean μ = 1,500, find the probability 00 hours. (Round your answer to four decimal places.) bulb of the same type as in part (a). If one bulb burns out and is repl ility that the two bulbs fail within a total of 1,600 hours. (Round your

of a type with average lifetime 1,500 hours. Assuming that we can n xponential density function with mean μ = 1,500, find the probability 00 hours. (Round your answer to four decimal places.) bulb of the same type as in part (a). If one bulb burns out and is repl ility that the two bulbs fail within a total of 1,600 hours. (Round your

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

I need help with this question.

(a) A lamp has two bulbs, each of a type with average lifetime 1,500 hours. Assuming that we can model the probability
of failure of a bulb by an exponential density function with mean μ = 1,500, find the probability that both of the
lamp's bulbs fail within 1,600 hours. (Round your answer to four decimal places.)
0.4301
(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 1,600 hours. (Round your answer to four
decimal places.)
0.3047
X

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