Mathematics, 13.12.2019 02:31 carmencc
At time t = 0, 19 identical components are tested. the lifetime distribution of each is exponential with parameter λ. the experimenter then leaves the test facility unmonitored. on his return 24 hours later, the experimenter immediately terminates the test after noticing that y = 13 of the 19 components are still in operation (so 6 have failed). derive the mle of λ. [hint: let y = the number that survive 24 hours. then y ~ bin(n, p). what is the mle of p? now notice that p = p(xi ≥ 24), where xi is exponentially distributed. this relates λ to p, so the former can be estimated once the latter has been.] (round your answer to four decimal places.)
Answers: 3
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Using pert, adam munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months, and the project variance is 4. a) what is the probability that the project will be completed in 17 months? b) what is the probability that the project will be completed in 20 months? c) what is the probability that the project will be completed in 23 months? d) what is the probability that the project will be completed in 25 months? e) what is the due date that yields a 95% chance of completion?
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Quadrilateral ghij has coordinates g(5, 1), h(4, -3), i(6, -1), and j(2, 1). if the quadrilateral is reflected over the line y = x, what are the coordinates of h'?
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At time t = 0, 19 identical components are tested. the lifetime distribution of each is exponential...
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