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Four years ago, Victor Consuelo purchased a very reliable automobile (as rated by a reputable consumer advocacy publication). His warranty has just expired, but the

Four years ago, Victor Consuelo purchased a very reliable automobile (as rated by a reputable consumer advocacy publication). His warranty has just expired, but the manufacturer has just offered him a 5-year, bumper-to-bumper warranty extension. The warranty costs $4,500. Consuelo constructs the following probability distribution with respect to anticipated costs if he chooses not to purchase the extended warranty.

Cost (in $) Probability
1,200 0.21
2,500 0.41
5,200 0.21
9,700 0.17

a. Calculate Victors expected cost.

Expected cost: $__________

b. Given your answer in part (a), should Victor purchase the extended warranty? (Assume risk neutrality.)
Yes or No ?

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