document.write( "Question 1085611:  A biologist estimates that 40% of the deer in a region carry a certain type of tick. For a sample of 300 deer selected at random, what is the chance that 124 or fewer deer have this tick?
\n" );
document.write( "		
\n" );
document.write( "A. 0.864
\n" );
document.write( "		
\n" );
document.write( "B. 0.702
\n" );
document.write( "		
\n" );
document.write( "C. 0.404
\n" );
document.write( "		
\n" );
document.write( "D. 0.298
\n" );
document.write( " \n" );
document.write( "
| Algebra.Com's Answer #699691 by rothauserc(4718)     You can put this solution on YOUR website! Use the binomial distribution formula \n" ); document.write( ": \n" ); document.write( "p = 0.40, n = 300, r varies from 0 to 124 \n" ); document.write( ": \n" ); document.write( "Probability (P) ( r successes out of 300 ) = 300Cr * (0.40)^300 * (1-0.40)^(300-r) \n" ); document.write( ": \n" ); document.write( "Note 300Cr = 300! / (r! * (300-r)!) \n" ); document.write( ": \n" ); document.write( "then sum the P(r)'s \n" ); document.write( ": \n" ); document.write( "fortunately there are binomial distribution calculators, therefore \n" ); document.write( ": \n" ); document.write( "P ( 124 or fewer deer are infected ) = 0.7030 approximately 0.70 or 70% \n" ); document.write( ": \n" ); document.write( "****************** \n" ); document.write( "answer is B. \n" ); document.write( "****************** \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |