ABC sells refrigerators. Any refrigerator that fails before it is 3 years old is replaced for free. Of all refrigerators, 2% fail during their first year of operation; 4% of all 1-year-old refrigerators fail during their second year of operation; and 8% of all 2-year-old refrigerators fail during their third year of operation. It costs ABC $500 to replace a refrigerator, and ABC sells 6,000 refrigerators per year.
Estimate the fraction of all refrigerators that will have to be replaced.

What will be an ideal response?


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The percentages 14% and 6% (based on 5000 iterations) estimate the numbers of new refrigerators that fail sometime under the warranties (3 years and 2 years, respectively). They're used in the cost analysis in Question 94.


Business

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