Chapter 14, Problem 34E

a)

To determine

To explain the difference between disjoint and independent.

Explanation of Solution

Given:

If you examine one person, are the events that the person is Type A and that the peirson is Type B disjoint, independent, or neither?

First, we need to understand about disjoint and independent events.

Disjoint events: The events that cannot occur at the same time.

Independent events: Occurrence of one event does not affect to the probability of the occurrence of another event.

For one person, the events of having Type A blood and having Type B blood are disjoint. One person cannot have both blood types.

b)

To determine

To explain the difference between disjoint and independent.

Explanation of Solution

Given:

If you examine two people, are the events that the first is Type A and the second Type B disjoint, independent, or neither?

First, we need to understand about disjoint and independent events.

Disjoint events: The events that cannot occur at the same time.

Independent events: Occurrence of one event does not affect to the probability of the occurrence of another event.

For two people, the events of the first having Type A blood and Type B blood are independent because one person's blood type does not affect the other person's.

c)

To determine

To explain the difference between disjoint and independent.

Explanation of Solution

Given:

Can disjoint events ever be independent?

First, we need to understand about disjoint and independent events.

Disjoint events: The events that cannot occur at the same time.

Independent events: Occurrence of one event does not affect to the probability of the occurrence of another event.

Disjoint events can never be independent. Once you know that one of a pair of disjoint events has occurred, the other one cannot occur, so its probability has become zero.