document.write( "Question 1208186: Tickets for a raffle cost $18. There were 757 tickets sold. One ticket will be randomly selected as the winner, and that person wins $1900 and also the person is given back the cost of the ticket. For someone who buys a ticket, what is the Expected Value (the mean of the distribution)?\r
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document.write( "If the Expected Value is negative, be sure to include the \"-\" sign with the answer. Express the answer rounded to two decimal places.\r
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document.write( "Expected Value = $
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Algebra.Com's Answer #846435 by greenestamps(13203)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "757 tickets were sold for $18 each; for the people running the lottery, the total income was 757($18) = $13626. \n" ); document.write( "1 winning ticket was drawn, with a prize of $1900, and the $18 cost of the ticket was returned to the winner. For the people running the lottery, the total expenditures was $1900+$18 = $1918. \n" ); document.write( "For the people running the lottery, the net gain was $13626-$1918 = $11708. \n" ); document.write( "For the people running the lottery, the average gain per ticket sold was $11708/757 = $15.4663.... \n" ); document.write( "For the people buying the tickets, the average \"gain\" was -$15.4663.... \n" ); document.write( "ANSWER: -$15.4663.... \n" ); document.write( " \n" ); document.write( " |