document.write( "Question 420418: Hello, I have a question that I could use some assistance on.\r
\n" );
document.write( "\n" );
document.write( "Raffle tickets. 1,000 raffle tickets are sold for $1.00 each. One prize of $800.00 is to be awarded.\r
\n" );
document.write( "\n" );
document.write( "a) Reng Condos purchases one ticket. Determine her expected value.\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "b) Determine the fair price of a ticket.\r
\n" );
document.write( "\n" );
document.write( "Thank you so much for your help!!! \n" );
document.write( "
Algebra.Com's Answer #293798 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Raffle tickets. 1,000 raffle tickets are sold for $1.00 each. \n" ); document.write( "One prize of $800.00 is to be awarded. \n" ); document.write( "a) Reng Condos purchases one ticket. Determine her expected value. \n" ); document.write( "Random gain values: 799, -1 \n" ); document.write( "Corresponding Probs: 1/1000, 999/1000 \n" ); document.write( "------- \n" ); document.write( "E(x) = (1/1000)799 -1(999/1000) = (799-999)/1000 = -200/1000 = -20 cents \n" ); document.write( "------- \n" ); document.write( "b) Determine the fair price of a ticket. \n" ); document.write( "Let the cost to play be \"x\". \n" ); document.write( "---- \n" ); document.write( "Random gain values: 800-x and -x \n" ); document.write( "Corresponding Probs 1/1000 , 999/1000 \n" ); document.write( "----- \n" ); document.write( "Note: A fair price means E(x) = 0 \n" ); document.write( "--------------------------------------- \n" ); document.write( "Solve: \n" ); document.write( "(800-x)/1000-999x/(1000) = 0 \n" ); document.write( "--- \n" ); document.write( "800-x-999x = 0 \n" ); document.write( "800-1000x = 0 \n" ); document.write( "x = 8/10 = $0.8 = 80 cents \n" ); document.write( "============================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |