Chapter 4, Problem 1CRP

a.

To determine

Convert event $A^c$ into words.

Explanation of Solution

It is given that two events for an individual are defined as follows:

$A=\text{owns a cell phone}$ and $B=\text{owns a laptop computer}$.

Event $A^c$ is the complement of Event A.

Therefore, event $A^c$ means that the individual does not own a cell phone.

b.

To determine

Translate Events $AandB$ into words.

Explanation of Solution

Events $AandB$ indicate that the individual owns a cell phone as well as a laptop computer.

c.

To determine

Translate Events $AorB$ into words.

Explanation of Solution

Event $Aor\text{ Event }B$ means that the individual owns either a cell phone or a laptop computer.

d.

To determine

Translate Event $A/B$ into words.

Explanation of Solution

Event $A/B$ is a conditional event of A, given that Event B has occurred already.

Thus, Event $A/B$ means that the individual owns a cell phone, given that the person owns a laptop computer.

e.

To determine

Translate Event $B/A$ into words.

Explanation of Solution

Event $B/A$ describes that the individual owns a laptop computer, given that the person owns a cell phone.