Consider the Venn diagram below. Each of the dots outside the circle represents a city that's population growth was studied. In this experiment, 7 cities are studied. The cities were: Austin, Charlotte, Chicago, Duluth, Minneapolis, New York, and Seattle.

 Consider the Venn diagram below. Each of the dots outside the circle represents a city that's population growth was studied. In this experiment, 7 cities are studied.  The cities were: Austin, Charlotte, Chicago, Duluth,  Minneapolis, New York, and Seattle.

The two events represented in the Venn diagram are:

Event A: The city has positive population growth over the past five years.
Event B: The city has positive economic growth over the past five years.
Austin, Charlotte, Chicago, New York, and Seattle reported that they have had positive population growth over the past five years. Minneapolis, New York, and Seattle reported that they have had positive economic growth over the past five years. Duluth stated that neither option applied to them.

Place the dots in the appropriate event given the information above (you may not use all of the dots), then determine if the events are mutually exclusive.

 

A and B are not mutually exclusive. We say that two events are mutually exclusive if they share no outcomes, that is, P(A and B)=0. Here, A and B share outcomes: New York and Seattle. Thus, P(A and B)≠0 and the events are not mutually exclusive.


 

Thanks