document.write( "Question 1007058: Suppose there is a snack machine in the library which seems
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document.write( "to randomly malfunction. After you put money in it and select
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document.write( "a snack, it sometimes gives you the snack you asked for,
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document.write( "sometimes you get a snack you didn't ask for and just as often,
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document.write( "it gives you nothing. When you are in the library for a few
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document.write( "hours, you often end up wanting two snacks while you are there \n" );
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Algebra.Com's Answer #623071 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! Suppose there is a snack machine in the library which seems \n" ); document.write( "to randomly malfunction. After you put money in it and select \n" ); document.write( "a snack, it sometimes gives you the snack you asked for, \n" ); document.write( "sometimes you get a snack you didn't ask for and just as often, \n" ); document.write( "it gives you nothing. When you are in the library for a few \n" ); document.write( "hours, you often end up wanting two snacks while you are there. \n" ); document.write( " \r\n" ); document.write( "(a) State the sample space\r\n" ); document.write( "\r\n" ); document.write( "Let Y = \"You get the snack you want.\r\n" ); document.write( "Let N = \"You get a snack, but not the one you wanted.\r\n" ); document.write( "Let 0 = \"You get no snack at all\".\r\n" ); document.write( "\r\n" ); document.write( "Sample space = {YY, YN, Y0, NY, NN, N0, 0Y, 0N, 00}\r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "(b) Find the probability of getting no snack both times.\r\n" ); document.write( "\r\n" ); document.write( "P(00) = 1 way out of 8 = 1/8 \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(c) Find the probability of getting no snack at least once.\r\n" ); document.write( "\r\n" ); document.write( "P(Y0 or N0 or 0Y or 0N or 00) = P(Y0)+P(N0)+P(0Y)+P(0N)+P(00) =\r\n" ); document.write( "\r\n" ); document.write( "1/8+1/8+1/8+1/8+1/8 = 5/8\r\n" ); document.write( "\r\n" ); document.write( "(d) Find the probability of not getting no snack both times.\r\n" ); document.write( "\r\n" ); document.write( "That's a double negative, bad grammar.\r\n" ); document.write( "\r\n" ); document.write( "You would get a snack both times.\r\n" ); document.write( "\r\n" ); document.write( "1 - P(00) = 1 - 1/8 = 7/8\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |