Chapter 5.1, Problem 5.8E

(a)

To determine

To find out that the statements are true of a table of random digits or false and explain it.

Answer to Problem 5.8E

False.

Explanation of Solution

There are exactly four zeros in each row of $40$ digits.

This statement is false, because you expect there to be four zeros in each row of $40$ digits, but it can be more or less.

(b)

To determine

To find out that the statements are true of a table of random digits or false and explain it.

Answer to Problem 5.8E

True.

Explanation of Solution

Each pair of digit has a chance $1/100$ of being $00$ .

This statement is true, because $00$ is one possible combination for a pair of digits out of $100$ possible pair of digits (each digit has $10$ possibilities).

(c)

To determine

To find out that the statements are true of a table of random digits or false and explain it.

Answer to Problem 5.8E

False.

Explanation of Solution

The digits $0000$ can never appear as a group because this method is not random.

This statement is false because it can appear but it is rare. For example, it will very likely appear in a list of $1$ million digits.