A store specializing in mountain bikes is to open in one of two malls. If the first mall is​ selected, the store anticipates a yearly profit of $825,000 if successful and a yearly loss of $275,000 otherwise. The probability of success is 1/2. If the second mall is​ selected, it is estimated that the yearly profit will be $550,000 if​ successful; otherwise, the annual loss will be $165,000. The probability of success at the second mall is 3/4. What is the expected profit for both mall 1 and 2? Which mall should be chosen in order to maximize the expected​ profit?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A store specializing in mountain bikes is to open in one of two malls. If the first mall is​ selected, the store anticipates a yearly profit of $825,000 if successful and a yearly loss of $275,000 otherwise. The probability of success is 1/2. If the second mall is​ selected, it is estimated that the yearly profit will be $550,000 if​ successful; otherwise, the annual loss will be $165,000. The probability of success at the second mall is 3/4.

What is the expected profit for both mall 1 and 2? Which mall should be chosen in order to maximize the expected​ profit?

 

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