A company that manufactures and sells consumer video cameras sells two versions of their popular hard disk camera, a basic camera for $950, and a deluxe version for $1200. About 55% of customers select the basic camera. Of those, 70% purchase the extended warranty for an additional $150. Of the people who buy the deluxe version, 90% purchase the extended warranty. Complete parts a through d below.
Sketch the probability tree for total purchases.
|
Warranty |
.70 |
Basic and Warranty |
|||||
|
Basic |
.55 |
||||||
|
No Warranty |
.30 |
Basic and No Warranty |
|||||
|
Warranty |
.90 |
Deluxe and Warranty |
|||||
|
Deluxe |
.55 |
||||||
|
No Warranty |
.10 |
Deluxe and No Warranty |
|||||
|
(Type integers or decimals.) |
|||||||
Tree diagram:
| Total | |||||
| Warranty | 0.7 | 0.385 | |||
| Basic | 0.55 | ||||
| No Warranty | 0.3 | 0.165 | |||
| Warranty | 0.9 | 0.405 | |||
| Deluxe | 0.45 | ||||
| No Warranty | 0.1 | 0.045 |
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A company that manufactures and sells consumer video cameras sells two versions of their popular hard...
A company that manufactures video cameras produces a basic model and a deluxe model. Over the past year, 40% of the cameras sold have been of the basic model. Of those buying the basic model, 34% purchase an extended warranty, whereas 49% of all deluxe purchasers do so. If you learn that a randomly selected purchaser has an extended warranty, how likely is it that he or she has a basic model? (Round your answer to four decimal places.)