that has pdf, f(x) = (1/5)exp{-x/5}, 0 < x < ∞, = zero, elsewhere. (a) Compute the moment generating function of Yn = √√√n(Xn-5).
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- Suppose we have random samples (X₁, X2, X3, X₁, X5) and it is known that X; Exponential (0). Th observations are (x1, X2, X3, X4, X5)=(0.32, 2.37, 1.26, 2.18, 1.8) When typing in formulae, use the notation below xi theta x_i When typing in formulae, don't forget to use "*" for multiplication Likelihood Find the likelihood function by filling in the gaps below. Express the Likelihood functions through and X1, X2, X3, X4, X5. 5 = The formula for calculating the likelihood is L(0; x) = [] ƒ(X; ; 0); i=114) Find the mean value of the function y = 4 - x² on the interval [-1,2].A app.gradally.com TU Apply | Florida International Uni.. FIU First Year Applicant | Admission... UltiPro - UltiPro Login Ü UltiPro In Oregon, = of the soft drink bottles are recycled each year. A bottling company there produces 1.2 milli on bottles and figures that x years later the number U of those still being usedis given by U (x) = 1,200,270| Of those 1.2 milli on bottles, how many 15 are still in use 8 years later? O 20,160 O 9,873 O 7.23 E 46 O 1,126,024 O None of the above 8 00:31:04 4 ВАСK PRE-CALCULUS FORMULA REFERENCE SHEETS 80 esc DII F1 F2 F3 F4 F5 F6 F7 F8 @ # $ % & 3 4 < CO
- Assume that the entire sample has 2 positive observations and 6 negatives observations. Variable X1: at the left branch has 2 positive observations and 4 negatives observations;at the right branch has 6 positive observations and 6 negatives observations. What is the information gain or reduction in uncertainty of X1 using the Gini index? (round to two decimal spaces)Suppose that the random change in value of a financial asset is X over the first day and Y over the second. Suppose also that Var(X) =18 and Var(Y) = 26 In this case, the total change in the value over these two days is given by X +Y. Do you have enough information to compute Var(X +Y)? If so, compute this value. If not, explain what additional information you need to do so.let x be a random variable with moment generating function Mx(t)=(0.6 + 0.4e^t)^20 then the variance of x is
- In a study conducted by a certain country's Economic Development Board, it was found that the Lorenz Curve for the distribution of income of stockbrokers was described by the function f(x)=11/12 x^2+1/12 x And that of high school teachers by the function g(x)=5/6 x^2+1/6 xa) Sketch the Lorentz curve for stock-broker income.4. Find the value of c that satisfy the equation f (b)- f (a) _ != f'(c) b-a in the conclusion of Mean Value Theorem for functions and intervals in : a. f(x)=x² + 2x=1, [0,1] b. f(x) = x³, [0,1] 1 c. S (4) =x+. [;,2] d. f(x)= /x-1, [1,3]5.2(2) Determines the first and second derived from the function (shown in the image)
