A car company conducted a study to understand the relationship between age groups and drivers' primary vehicles. (Their primary vehicle is the single vehicle that they drive most often.) Selecting and contacting a random sample of 350 drivers, the company compiled the results of their data collection in the following table.
|
Station Wagons & Vans
|
Sedans
|
Sports & SUV's
|
Other
|
|
Less than 35
|
17
|
34
|
22
|
11
|
|
36 thru 55
|
46
|
49
|
40
|
15
|
|
56 and above
|
32
|
61
|
16
|
7
|
- Estimate the probability that a driver selected at random will drive a Sports or SUV.
- What are the chances that someone middle-aged (36 thru 55) will drive a Station Wagon or Van as their primary vehicle?
- Estimate the chances of finding someone 36 and older driving a non-sedan.
- Does is seem likely that the two events, selecting an older driver (56 and above) and selecting Station Wagon/Van driver, are independent events?
- Of the 12 sub-categories in the above table, which pairs are mutually-exclusive. Explain how you arrived at your answer.