SOLUTION: Suppose the warranty period on your family's new computer is about to expire and you are debating about whether to buy a one-year maintenance contract for $130. If you buy the cont

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Question 1171280: Suppose the warranty period on your family's new computer is about to expire and you are debating about whether to buy a one-year maintenance contract for $130. If you buy the contract, all repairs for one year are free. Consumer information shows that 23% of the computers like yours require an annual repaid that costs $320 on the average. What is the expected value of buying the maintenance contract?
Answer by ikleyn(52779)   (Show Source): You can put this solution on YOUR website!
.

Your expected value of buying the maintenance contract is

      0.23*320 - 130 dollars = -56.40 dollars.


In wording form :

      If you do not buy the contract, then with the probability of  0.23  you will be forced to pay  $320 for repair,  which is  $73.60.

      If you do buy the contract,  you pay  $130  for contract,  avoiding the fees for repair.


      In other words,  buying the contract,  you give them $130,  but avoid to lose $73.60.


      So,  you pay  $56.40  dollars to the insurance company for your  "peace in mind".

      $56.40 is the profit of the insurance company - it is for what they established their business.


ANSWER.   Your expected value of buying the maintenance contract is -56.40 dollars.

                    Notice the sign   " - "   before the number.



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