A random-number generator makes it possible to automatically obtain a list of random numbers within any specified range. Often a random-number generator returns a real number, r, between 0 and 1. To obtain random integers (whole numbers) in an arbitrary range, m to n, inclusive, apply the conversion formula m + (n − m + 1)r and round down to the nearest integer. Explain how to use this type of random-number generator to solve
a. Exercise 1.43(b).
b. Exercise 1.44(b).

REFERECE 1.43

The International 500. Each year, Fortune Magazine publishes an article titled “The International 500” that provides ranking by sales of the top 500 firms outside the United States. Suppose that you want to examine various characteristics of successful firms. Further suppose that, for your study, you decide to take a simple random sample of 10 firms from Fortune Magazine’s list of “The International 500.”

a. Use Table I in Appendix A to obtain 10 random numbers that you can use to specify your sample. Start at the three-digit number in line number 14 and column numbers 10–12, read down the column, up the next, and so on.

b. If you have access to a random-number generator, use it to solve part (a).

REFERECE 1.44

In the game of keno, 20 balls are selected at random from 80 balls numbered 1–80.

a. Use Table I in Appendix A to simulate one game of keno by obtaining 20 random numbers between 1 and 80. Start at the two-digit number in line number 5 and column numbers 31–32, read down the column, up the next, and so on.

b. If you have access to a random-number generator, use it to solve part (a).