Solution Found!
Let m(t) = (1/6)et + (2/6)e2t + (3/6)e3t . Find the following: a E(Y ) b V(Y ) c The
Chapter 3, Problem 3.155(choose chapter or problem)
QUESTION:
Let m(t) = (1/6)et + (2/6)e2t + (3/6)e3t . Find the following: a E(Y ) b V(Y ) c The distribution of Y
Questions & Answers
QUESTION:
Let m(t) = (1/6)et + (2/6)e2t + (3/6)e3t . Find the following: a E(Y ) b V(Y ) c The distribution of Y
ANSWER:Step 1 of 4
For a discrete random variable , its moment generating function is defined by
From the given moment generating function, the expected value and the variance are calculated using the following relations:
Here, and are the first and second derivative of the moment generating function with respect to at.