4.D.1.2
Organize data sets to create tables, bar graphs, timelines, and Venn diagrams. The data may include benchmark fractions or decimals (1/4, 1/3, 1/2, 2/3, 3/4, 0.25, 0.50, 0.75).
Example Problems
One hundred twenty households were surveyed about whether they own a dog and whether they own a cat. The following two-way table displays data for the sample:
In this sample, are the events "Owns dog" and "Owns cat" mutually exclusive?
| Ownership | Owns cat | Doesn't own cat | TOTAL |
|---|---|---|---|
| Owns dog | 50 | 30 | 80 |
| Doesn't own dog | 20 | 20 | 40 |
| TOTAL | 70 | 50 | 120 |
In this sample, are the events "Owns dog" and "Owns cat" mutually exclusive?
Two hundred employees were classified by department (Tech or HR) and by work location (Remote or On-site). The following two-way table displays data for the sample:
In this sample, are the events "Remote" and "HR" mutually exclusive?
| Department | Tech | HR | TOTAL |
|---|---|---|---|
| Remote | 60 | 40 | 100 |
| On-site | 80 | 20 | 100 |
| TOTAL | 140 | 60 | 200 |
In this sample, are the events "Remote" and "HR" mutually exclusive?
Three hundred commuters were surveyed about whether they use the bus and whether they use the train to get to work. The probability a randomly selected commuter uses the bus is , the probability they use the train is , and the probability they use both is .
In this sample, are the events Uses bus and Uses train mutually exclusive?
In this sample, are the events Uses bus and Uses train mutually exclusive?

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