4 transform methods

pgf

• 4-1: X is a binomial RV, B(n,p). Use pgf to calculate the variance of X.

• 4-2: X is a uniform RV that assumes integers between 1 and M. Calculate Var(X) using its pgf.

mgf• 4-3: Find the variance of a Poisson RV

with parameter using mgf.

HW4-1

• Find the mgf of a Gaussian RV X with N(0,1)

Char. function

• 4-4: Find a characteristic function of a Gaussian RV, N(0,1).