document.write( "Question 1168408: 64% of all violent felons in the prison system are repeat offenders. If 48 violent felons are randomly selected, find the probability that \r
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document.write( "a. Exactly 28 of them are repeat offenders. \r
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document.write( "b. At most 30 of them are repeat offenders. \r
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document.write( "c. At least 32 of them are repeat offenders. \r
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document.write( "d. Between 28 and 34 (including 28 and 34) of them are repeat offenders. \n" );
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Algebra.Com's Answer #852007 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "64% of all violent felons in the prison system are repeat offenders. If 48 violent felons are randomly selected, find the probability that \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a. Exactly 28 of them are repeat offenders. \r \n" ); document.write( "\n" ); document.write( "b. At most 30 of them are repeat offenders. \r \n" ); document.write( "\n" ); document.write( "c. At least 32 of them are repeat offenders. \r \n" ); document.write( "\n" ); document.write( "d. Between 28 and 34 (including 28 and 34) of them are repeat offenders. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " As it regularly happens with @CPhill' solutions on Binomial distribution,\r \n" ); document.write( "\n" ); document.write( " all calculations (a), (b), (c) and (d) in the post by @CPhill are incorrect.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Below are my correct answers.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(a) P(X=28) = 0.0837\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(b) P(X <= 30) = 0.4681\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(c) P(X >= 32) = 0.4126\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(d) P(28 <= X <= 34) = P(X <= 34) - P(X <= 27) = 0.8732 - 0.1662 = 0.707.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To check your/my calculations, use online calculator \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "https://stattrek.com/online-calculator/binomial\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |