Joe is buying a new plasma TV at Circuit Town. The salesman offers Joe a three-year extended warranty for $90.

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Joe is buying a new plasma TV at Circuit Town. The salesman offers Joe a​ three-year extended warranty for ​$90. The salesman tells Joe that 24​% of these plasma TVs require repairs within the first three​ years, and the average cost of a repair is ​$450. Should Joe buy the extended​ warranty? What is the expected value of the warranty?