document.write( "Question 1189291: Let x be the number of heads which occur when a coin is tossed 100 times and Y be the number of ones which occur when a die is rolled 300 times.\r
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document.write( "Find P(45 < X < 55) and P(45 < Y < 55) \n" );
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Algebra.Com's Answer #820620 by Edwin McCravy(20081) You can put this solution on YOUR website! Let x be the number of heads which occur when a coin is tossed 100 times. \n" ); document.write( "Find P(45 < X < 55) \n" ); document.write( " \r\n" ); document.write( "μ = np = (100)(0.5) = 50\r\n" ); document.write( "σ = √(npq) = √(100*0.5*0.5) = √25 = 5\r\n" ); document.write( "\r\n" ); document.write( "Use TI-84\r\n" ); document.write( "\r\n" ); document.write( "normalcdf(45,55,50,5)\r\n" ); document.write( "\r\n" ); document.write( "Answer: 0.6826894809\r\n" ); document.write( "\r\n" ); document.write( "-------------\r\n" ); document.write( "\r\n" ); document.write( "Let Y be the number of ones which occur when a die is rolled 300 times\r\n" ); document.write( "Find P(45 < X < 55) \r\n" ); document.write( "\n" ); document.write( "\r\n" ); document.write( "μ = np = (300)(1/6) = 50\r\n" ); document.write( "σ = √(npq) = √(300*(1/6)*(5/6)) = √41.66666667 = 6.454972244\r\n" ); document.write( "\r\n" ); document.write( "Use TI-84\r\n" ); document.write( "\r\n" ); document.write( "normalcdf(45,55,50,6.454972244)\r\n" ); document.write( "\r\n" ); document.write( "Answer: 0.5614221135\r\n" ); document.write( "\r\n" ); document.write( "Edwin |