document.write( "Question 354215: A random sample of 253 adults was take, and they were asked whether they prefer watching sports (WS) or opera on tv (OTV). The following table gives the two-way classification of these adults.
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document.write( "Male (WS)-93
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document.write( "Male (OTV)-27
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document.write( "Female (WS)-42
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document.write( "Female (OTV)-91
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document.write( "If one adult is selected at random from this group, find the probability that this adult (round answers to three decimal places)
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document.write( "A.Prefers watching opera
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document.write( "B.Is male
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document.write( "C.Prefers watching sports given that the adult is a female
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document.write( "D.Is a male given that he prefers watching sports
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document.write( "E.Is a female and prefers watching opera
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document.write( "F.Prefers watching sports or is a male \n" );
document.write( "
Algebra.Com's Answer #253180 by sudhanshu_kmr(1152) You can put this solution on YOUR website! Total no. of person = 253 i.e n(s)\r \n" ); document.write( "\n" ); document.write( "A. Solution: \r \n" ); document.write( "\n" ); document.write( " no. of adults who prefer watching opera = 27 + 91 = 118\r \n" ); document.write( "\n" ); document.write( " probability of prefer watching opera = 118/253\r \n" ); document.write( "\n" ); document.write( "= 0.466\r \n" ); document.write( "\n" ); document.write( "....................................................................\r \n" ); document.write( "\n" ); document.write( "B. solution: \r \n" ); document.write( "\n" ); document.write( "no. of male = 93 + 27 = 120\r \n" ); document.write( "\n" ); document.write( "probability of male = 120/253\r \n" ); document.write( "\n" ); document.write( "= 0.474\r \n" ); document.write( "\n" ); document.write( "........................................................................\r \n" ); document.write( "\n" ); document.write( "C. solution: \r \n" ); document.write( "\n" ); document.write( "no. of female = 42 + 91 = 133\r \n" ); document.write( "\n" ); document.write( "no. of female prefer watching sports = 42\r \n" ); document.write( "\n" ); document.write( "probability of prefer watching sports if female = 42 / 133\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "= 0.3158 \n" ); document.write( ".........................................................................\r \n" ); document.write( "\n" ); document.write( "D. solution\r \n" ); document.write( "\n" ); document.write( "no. of adults watching sports = 93 + 42 = 135\r \n" ); document.write( "\n" ); document.write( "no. of male watching sports = 93\r \n" ); document.write( "\n" ); document.write( "probability of male if watching sports = 93/135\r \n" ); document.write( "\n" ); document.write( "= 0.68888\r \n" ); document.write( "\n" ); document.write( "..........................................................................\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "E. solution:\r \n" ); document.write( "\n" ); document.write( "no. of females watching opera = 91\r \n" ); document.write( "\n" ); document.write( "probability of female that watching opera = 91/ 253 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "= 0.35968\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "..........................................................................\r \n" ); document.write( "\n" ); document.write( "F. no. of adult who are male or watching sport = 93+ 27 +42 = 162 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "probability of male or watching sport = 162/253\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "= 0.6403\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Sometimes there may be typing mistake in solution of a problem, so please ignore it. Understand the concept and try to solve the problem yourself. If there is problem related to concept, contact at sudhanshu.cochin@gmail.com \n" ); document.write( "Best of luck....... \n" ); document.write( " |