document.write( "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? \n" ); document.write( "
Algebra.Com's Answer #796213 by ikleyn(52776)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your expected value of buying the maintenance contract is \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " 0.23*320 - 130 dollars = -56.40 dollars.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In wording form :\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " 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.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " If you do buy the contract, you pay $130 for contract, avoiding the fees for repair.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " In other words, buying the contract, you give them $130, but avoid to lose $73.60.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " So, you pay $56.40 dollars to the insurance company for your \"peace in mind\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " $56.40 is the profit of the insurance company - it is for what they established their business.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "ANSWER. Your expected value of buying the maintenance contract is -56.40 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Notice the sign \" - \" before the number.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |