Let X; be independent Uniform(-7,7) random variables, for i=1, 2, ..., 7. Let Y=X₁+X₂+...+X7. (b) Find which of the following statements are correct for the moment generating function (mgf) My(t) of Y. The mgf of 2Y is obtained by replacing in the mgf of Y the value t by 2t. It is equal to the mgf of any Xi to the power of 1/7, for i=1,...,7 It is equal to the product of the mgfs of the Xi, for i=1,...,7 It is equal to the sum of the mgfs of the Xi, for i=1,...,7 It is equal to 7 times the mgf of Xi, for some integer i between 1 and 7 It is equal to 7 times the mgf of any Xi to the power of 7, for some integer i between 1 and 7
Let X; be independent Uniform(-7,7) random variables, for i=1, 2, ..., 7. Let Y=X₁+X₂+...+X7. (b) Find which of the following statements are correct for the moment generating function (mgf) My(t) of Y. The mgf of 2Y is obtained by replacing in the mgf of Y the value t by 2t. It is equal to the mgf of any Xi to the power of 1/7, for i=1,...,7 It is equal to the product of the mgfs of the Xi, for i=1,...,7 It is equal to the sum of the mgfs of the Xi, for i=1,...,7 It is equal to 7 times the mgf of Xi, for some integer i between 1 and 7 It is equal to 7 times the mgf of any Xi to the power of 7, for some integer i between 1 and 7
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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