Note that the random variables Q1, . . . ,QN in Section 6.3 have a joint multinomial distribution with probabilities 1,2, . . . ,N.

Note that the random variables Q1, . . . ,QN in Section 6.3 have a joint multinomial distribution with probabilities ψ1,ψ2, . . . ,ψN. Use properties of the multinomial distribution to show that ṫψ in (6.13) is an unbiased estimator of t with variance given by

Also show that (6.14) is an unbiased estimator of the variance in (6.46). Hint: Use properties of conditional expectation in Appendix A, and write