document.write( "Question 1133549: ​58% of men consider themselves professional baseball fans. You randomly select 10 men and ask each if he considers himself a professional baseball fan. Find the probability that the number who consider themselves baseball fans is​ (a) exactly​ five, (b) at least​ six, and​ (c) less than four. \n" ); document.write( "
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exactly 5 is 10C5(0.58^5)*0.42^5=0.2162
\n" ); document.write( "4 would be 10C4(0.58^4)(0.42^6)=0.1304
\n" ); document.write( "3 would be 0.0540 done the same way
\n" ); document.write( "2 would be 0.0147
\n" ); document.write( "1 would be 0.0021
\n" ); document.write( "0 would be 0.0002\r
\n" ); document.write( "\n" ); document.write( "At least six is 1-5 and fewer or 1-0.4176 or 0.5824
\n" ); document.write( "Fewer than four includes 0-3 and probability is 0.0710
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