Suppose you obtain the sample of n = 3 distinct values given by 1, 2, and 3.

(a) Write down all possible bootstrap samples.

(b) If you are bootstrapping the sample median, what are the possible values for the sample median for a bootstrap sample?

(c) If you are bootstrapping the sample mean, what are the possible values for the sample mean for a bootstrap sample?

(d) What do you conclude about the bootstrap distribution of the sample median compared to the bootstrap distribution of the sample mean?