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In: Statistics and Probability

A company that manufactures and sells consumer video cameras sells two versions of their popular hard...

A company that manufactures and sells consumer video cameras sells two versions of their popular hard disk​ camera, a basic camera for ​$500​, and a deluxe version for ​$1200. About 55​% of customers select the basic camera. Of​ those, 30​% purchase the extended warranty for an additional ​$100. Of the people who buy the deluxe​ version, 50​% purchase the extended warranty. Complete parts a through d below. ​a) Sketch the probability tree for total purchases. Warranty 0.3 Basic and Warranty 0.165 Basic 0.55 No Warranty 0.7 Basic and No Warranty 0.385 Warranty 0.5 Deluxe and Warranty 0.225 Deluxe 0.45 No Warranty 0.5 Deluxe and No Warranty 0.225 ​(Type integers or​ decimals.) ​b) What is the percentage of customers who buy an extended​ warranty? 39​% ​(Type an integer or a​ decimal.) ​c) What is the expected revenue of the company from a camera purchase​ (including warranty if​ applicable)? The expected revenue from a camera purchase is ​$ nothing. ​(Type an integer or a​ decimal.) ​d) Given that a customer purchases an extended​ warranty, what is the probability that he or she bought the deluxe​ version? The probability is nothing. ​(Round to three decimal places as​ needed.)

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