Question

In the email data set in Chapter 1, the number variable de- scribed whether no number (labeled none), only one or more small numbers (small), or whether at least one big number appeared in an email (big). Of the 3,921 emails, 549 had no numbers, 2,827 had only one or more small numbers, and 545 had at least one big number. (a) Are the outcomes none, small, and big disjoint

Answer 1

These outcomes are disjoint.

Explanation:

(a) Are the outcomes none, small, and big disjoint

If they are disjoint, the sum of the total number of each has to be equals to the number of emails.

We have:

3921 emails.

549 with no numbers.

2827 with only one or more small numbers

545 had at least one big number.

549 + 2827 + 545 = 3921

Since the sum is equals to the number of emails, these outcomes are disjoint.