) A lamp has two bulbs, each of a type with average lifetime 1,300 hours. Assuming that we can model the probability of failure of a bulb by an exponential densit probability that both of the lamp's bulbs fail within 1,000 hours. (Round your answer to four decimal places.) ) 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 tw (Round your answer to four decimal places.)
) A lamp has two bulbs, each of a type with average lifetime 1,300 hours. Assuming that we can model the probability of failure of a bulb by an exponential densit probability that both of the lamp's bulbs fail within 1,000 hours. (Round your answer to four decimal places.) ) 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 tw (Round your answer to four decimal places.)
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 33EQ
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Transcribed Image Text:(a) A lamp has two bulbs, each of a type with average lifetime 1,300 hours. Assuming that we can model the probability of failure of a bulb by an exponential density function with mean u = 1,300, find the
probability that both of the lamp's bulbs fail within 1,000 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 1,000 hours.
(Round your answer to four decimal places.)
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