(c) Find the expected value of Y and the variance of Y. Let X be a Uniform(-9,9) random variable.(a) The moment generating function of X is Mx(t) = A(e5t – eCt) tº, for some t in theneighbourhood of zero.Which values of the constants A, B, C, D are correct (following the same order as theyoccur here)?O 0.22 9, -9,1O 0.06, -9, 9, 1O 0.22,9, -9, -1О 4.50, -9, 9, -1O 0.06, 9, -9, -1O 4.50, 9, -9, -1 Let X; be independent Uniform(-9,9) random variables, for i=1, 2, ..., 14.Let Y = X1+X2+..+X14 -(b) Find which of the following statements are correct for the moment generatingfunction (mgf) My(t) of Y.O It is equal to the mgf of any Xi to the power of 1/14, for i=1,...,14O The mgf of 2Y is obtained by replacing in the mgf of Y the value t by 2t.O It is equal to 9 times the mgf of any Xi to the power of 14, for some integer ibetween 1 and 14O It is equal to 14 times the mgf of Xi, for some integer i between 1 and 14O It is equal to the sum of the mgfs of the Xi, for i=1,..,14O It is equal to the product of the mgfs of the Xi, for i=1,..,14

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Answered: Let X be a Uniform(-9,9) random…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Let X be a Uniform(-9,9) random variable. (a) The moment generating function of X is My(t) = A(eBt - e C) tº, for some t in the neighbourhood of zero. Which values of the constants A, B, C, D are correct (following the same order as they occur here)? O 0.22 9, -9, 1 O 0.06, -9, 9, 1