Mathematics, 08.12.2021 09:00, Giabear23
Let X1, X2, . . . , Xn be a random sample from an exponential distribution Exp(λ). (a) Show that the mgf of X ∼ Exp(λ) is MX(t) = (1 − λt) −1 , t < 1 λ . (b) Let the r. v. Y = 2 λ Pn i=1 Xi . Find the mgf of Y and deduce that Y ∼ χ 2 (2n). (c) Derive a 100(1 − α)% CI for λ. (d) A random sample of 15 heat pumps of a certain type yielded the following observations on lifetime (in years): 2.0 1.3 6.0 1.9 5.1 0.4 1.0 5.3 15.7 0.7 4.8 0.9 12.2 5.3 0.6 Assume that the lifetime distribution is exponential. What is a 95% CI for the true average and the standard deviation of the lifetime distribution?
Answers: 2
Mathematics, 21.06.2019 21:30, barb4you67
Hey hotel charges guests $19.75 a day to rent five video games at this rate which expression can be used to determine the charge for renting nine video games for one day at this hotel? pls
Answers: 1
Mathematics, 21.06.2019 23:30, ameliaduxha7
What is the explicit rule for the sequence in simplified form? −1,−4,−7,−10,−13… an=4−5n an=−4−3n an=2−3n an=−6−5n
Answers: 1
Let X1, X2, . . . , Xn be a random sample from an exponential distribution Exp(λ). (a) Show that the...
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