# Consider Example 3.4, with the following four basic outcomes for the Dow Jones Industrial Average over two

## Question:

O1: The Dow Jones average rises on both days.

O2: The Dow Jones average rises on the first day but does not rise on the second day.

O3: The Dow Jones average does not rise on the first day but rises on the second day.

O4: The Dow Jones average does not rise on either day.

Let events A and B be the following:

A: The Dow Jones average rises on the first day.

B: The Dow Jones average rises on the second day.

a. Show that (A ∩ B) ( (A ∩ B) = B.

b. Show that A ( (A ∩ B) = A ( B.

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**Related Book For**

## Statistics For Business And Economics

**ISBN:** 9780132745659

8th Edition

**Authors:** Paul Newbold, William Carlson, Betty Thorne