Question

Section 1.6, Exercise 10 Setting 1 for Heads and 0 for Tails, the outcome X of flipping a con can be thought of as resulting from a simple random selection of one number from (a) Compute the variance σ of X (b) The possible samples of size two, taken with replacement from the population 10, 1), are 0, 0), [0,1), f1,0), 11,1}. Compute the sample variance for each of the possible four samples. (c) Consider the statistical population consisting of the four sample variances obtained in part (b), and let Y denote the random variable resulting from a simple random selection of one number from this statistical population. Compute E(Y) (d) Compare σ and E(Y). If the sample variance in part (b) was computed according to a formula that divides by n instead of n-1, how would σ, and E(Y) compare?

Answer 1