document.write( "Question 1175884: A study found that 61% of green turtles migrate to warmer climates when seasons change. Scientists tagged 120 green turtles before migration. What is the probability that less than 20 green turtles did not migrate to a warmer climate during the season change? \r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "Mean:\r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "Variance:\r
\n" ); document.write( "\n" ); document.write( " \r
\n" ); document.write( "\n" ); document.write( "Standard Deviation:
\n" ); document.write( "

Algebra.Com's Answer #801733 by Boreal(15235)\"\" \"About 
You can put this solution on YOUR website!
Normal approximation
\n" ); document.write( "mean is np or 120*0.61=73.2 turtles migrate and 46.8 do not migrate
\n" ); document.write( "variance is np(1-p) or 73.2*0.39=28.548 turtles^2
\n" ); document.write( "sd is sqrt (V)=5.34 turtles
\n" ); document.write( "probability is a z < (19.5-46.8)/5.34, using continuity correction factor
\n" ); document.write( "and z < -5.34, which is essentially 0.
\n" ); document.write( "
\n" );