- #1

WMDhamnekar

MHB

- 376

- 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?