Of the 26 measurements of the heat of sublimation of platinum, 5 are outliers (see Figur...

Of the 26 measurements of the heat of sublimation of platinum, 5 are outliers (see Figure 10.10). Let N denote the number of these outliers that occur in a bootstrap sample (sample with replacement) of the 26 measurements.

a. Explain why the distribution of N is binomial.

b. Find P(N ≥ 10).

c. In 1000 bootstrap samples, how many would you expect to contain 10 or more of these outliers?

d. What is the probability that a bootstrap sample is composed entirely of these outliers?

Reference