Suppose that y is a discrete random variable with mean u and variance o2 and let X=Y+1
a. Do you expect the mean of x to be larger than, smaller than or equal to E(Y)? why?
b. Use therom 3.3 and 3.5 to express E(X) - E(Y+1) in terms of E(Y). Does this result agree with answer to part a.
c. Recalling that the variance is the measure of spread or dispersion, do you expect the variance of X to be larger than smaller than or equal to o^2 = V(Y)? why?