a) Use Equation XXXXXXXXXXto find E [S i | N(t)=n]. b) Find the second moment and the variance of Si conditional on N(t)=n. c) Assume that n is odd, and consider i = (n + 1)/2. What is the...

b) Find the second moment and the variance of Si conditional on N(t)=n.

c) Assume that n is odd, and consider i = (n + 1)/2. What is the relationship between Si, conditional on N(t)=n, and the sample median of n IID uniform random variables.

d) Give a weak law of large numbers for the above median.