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)
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Author:Sheldon Ross
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(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
Transcribed Image Text:(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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