Regarding question 2-(c), any tips or advice would be appreciated to me.

2. Suppose that we have N balls numbered 1 to N. If we let Xi be the number on the ith drawn

ball so that P(Xi = k) = 1/N for k = 1, • • • ,N.

(a) E(Xi), V (Xi) =?

(b) Let S be the sum of the numbers on n balls selected at random, with replacement, from

1 to N. Calculate E(S) and V (S).

**(c) Let S be the sum of the numbers on n balls selected at random, without replacement,**

from 1 to N. Calculate E(S) and V (S).

from 1 to N. Calculate E(S) and V (S).