Digitalis is a technology company that makes high-end computer processors. Their newest processor, the luteA, is going to be sold directly to the public. The processor is to be sold for $4500, making Digitalis a profit of  $383. Unfortunately there was a manufacturing flaw, and some of these luteA processors are defective and cannot be repaired. On these defective processors, Digitalis is going to give the customer a full refund. Suppose that for each luteA there is an 11% chance that it is defective and an 89% chance that it is not defective.   If Digitalis knows it will sell many of these processors, should it expect to make or lose money from selling them? How much? To answer, take into account the profit earned on each processor and the expected value of the amount refunded due to the processor being defective

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Digitalis is a technology company that makes high-end computer processors. Their newest processor, the luteA, is going to be sold directly to the public. The processor is to be sold for $4500, making Digitalis a profit of  $383. Unfortunately there was a manufacturing flaw, and some of these luteA processors are defective and cannot be repaired. On these defective processors, Digitalis is going to give the customer a full refund. Suppose that for each luteA there is an 11% chance that it is defective and an 89% chance that it is not defective.

 

If Digitalis knows it will sell many of these processors, should it expect to make or lose money from selling them? How much?

To answer, take into account the profit earned on each processor and the expected value of the amount refunded due to the processor being defective

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