This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: e 2 t + 0.25 e 3 t + 0.30 e 5 t . Find the expected value of X, E(X). 3. Suppose a discrete random variable X has the following probability distribution: f ( ) = P( X = 0 ) = 2 1 2 e, f ( k ) = P( X = k ) = ! 2 1 k k , k = 1, 2, 3, a) Find the momentgenerating function of X, M X ( t ). b) Find the expected value of X, E ( X ), and the variance of X, Var ( X ). 4. Let X be a Binomial ( n , p ) random variable. Find the momentgenerating function of X. 5. Let X be a geometric random variable with probability of success p . a) Find the momentgenerating function of X. b) Use the momentgenerating function of X to find E ( X )....
View Full
Document
 Fall '08
 Kim
 Statistics, Probability

Click to edit the document details