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HOMEWORK SOLUTIONS FOR MATH 5651 HOMEWORK FOR WEEK 9 OF FALL 2011
 

Summary: HOMEWORK SOLUTIONS FOR MATH 5651
HOMEWORK FOR WEEK 9 OF FALL 2011
Text: de Groot and Schervish, 4th edition
Assignment: 4.4: 3,7,10; 4.6: 10,12,13,14; 4.7: 2,7,8,9; 5.2: 6,7,8,13
Problem 3 of 4.4
We are given
E(X) = 1, E(X2
) = 2, E(X3
) = 5.
We are asked to calculate
E((X - EX)3
) = E((X - 1)3
).
Well,
E((X - 1)3
) = E(X3
) - 3E(X2
) + 3E(X) - 1 = 5 - 3(2) + 3(1) - 1 = 1.
Problem 7 of 4.4
We are given that for a random variable X the corresponding m.g.f. is

  

Source: Anderson, Greg W. - School of Mathematics, University of Minnesota

 

Collections: Mathematics