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
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Astore manager records the total visitors and sales, in dollars, for 10 days. the data is shown in the scatter plot. what conclusion can the store manager draw based on the data? question 3 options: an increase in sales causes a decrease in visitors. an increase in sales is correlated with a decrease in visitors. an increase in visitors is correlated with an increase in sales.
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Mathematics, 21.06.2019 20:00
Pepe and leo deposits money into their savings account at the end of the month the table shows the account balances. if there pattern of savings continue and neither earns interest nor withdraw any of the money , how will the balance compare after a very long time ?
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Mathematics, 21.06.2019 21:00
Meghan has created a diagram of her city with her house, school, store, and gym identified. a. how far is it from the gym to the store? b. meghan also wants to walk to get some exercise, rather than going to the gym. she decides to walk along arc ab. how far will she walk? round to 3 decimal places.
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Mathematics, 21.06.2019 21:00
Louis wants to carpet the rectangular floor of his basement the basement has an area of 864 square feet the width of the basement is 2/3 its length what is the length of lewis's basement
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Let X1, X2, . . . , Xn be a random sample from an exponential distribution Exp(λ). (a) Show that the...
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