document.write( "Question 1124810: A certain medical test is known to detect 75% of the people who are afflicted with the disease Y. If 10 people with the disease are administered the test, what is the probability that the test will show that:\r
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document.write( "All 10 have the disease, rounded to four decimal places? \r
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document.write( "At least 8 have the disease, rounded to four decimal places? \r
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document.write( "At most 4 have the disease, rounded to four decimal places? \n" );
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Algebra.Com's Answer #741116 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! .75^10=0.0563 \n" ); document.write( "look at 8, 9, 10 \n" ); document.write( "8 the probability is 10C8*0.75^8*0.25^2=0.2816 \n" ); document.write( "9 the probability is 0.1877 using the same approach \n" ); document.write( "At least 8 is 0.5256\r \n" ); document.write( "\n" ); document.write( "At most 4 is \n" ); document.write( "0 .25^10=essentially 0 \n" ); document.write( "1: 10C1*0.75*0.25^9=<0.0001 \n" ); document.write( "2: 45*0.75^2*0.25^8=0.0004 \n" ); document.write( "3: 120*0.75^3*0.25^7=0.0031 \n" ); document.write( "4: 10C4*0.75^4*0.25^6=0.0162 \n" ); document.write( "That sum is 0.0197 \n" ); document.write( " |