document.write( "Question 1176264: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color blue. If 12 buyers are randomly selected, what is the probability that exactly a fourth of the buyers would prefer blue? Round your answer to four decimal places.
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Algebra.Com's Answer #802774 by ikleyn(52786)\"\" \"About 
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\n" ); document.write( "A researcher wishes to conduct a study of the color preferences of new car buyers.
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document.write( "It is the binomial type probability distribution.\r\n" );
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document.write( "\"a fourth of the buyers\" in this problem means  1/4  of 12, i.e. 3 buyers of 12.\r\n" );
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document.write( "The number of trial n= 12; the probability of the success trial is  0.5,  and the number of success trial k = 3. \r\n" );
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document.write( "P = \"C%5B12%5D%5E3%2A0.5%5E3%2A%281-0.5%29%5E%2812-3%29\" = \"%28%2812%2A11%2A10%29%2F%281%2A2%2A3%29%29%2A0.5%5E3%2A0.5%5E9\" = \"220%2A0.5%5E12\" = 0.0537 = 5.37% (rounded).     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lessons\r
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