 #1
WMDhamnekar
MHB
 359
 28
 Homework Statement:

Suppose ## X_1, X_2, \dots ## are independent random variables with ## \mathbb{P}[X_j =1] = 1 \mathbb{P}[X_j =1] =\displaystyle\frac13## Let ##S_n = X_1 +\dots + X_n## and let
##\mathcal{F}_n## denote the information contained in ## X_1 , \dots , X_n ##
1.If m < n Find ## E[S_n \mathcal{F}_m], E[S^2_n \mathcal{F}_m], E[S^3_n \mathcal{F}_m]##
2. If m < n Find ## E [X_m S_n ] ##
 Relevant Equations:
 Not applicable
Are these above answers correct?