document.write( "Question 1177837: A quarterback on a football team has a pass completion rate of 0.62. If, in a given game, he attempts 16 passes, what is the probability that he will complete
\n" ); document.write( "(a) 12 passes?
\n" ); document.write( "(b) More than half of his passes?
\n" ); document.write( "(c) Interpret your result.
\n" ); document.write( "(d) Out of the 16 passes, what is the expected number of completions? \n" ); document.write( "

Algebra.Com's Answer #806953 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "Hi\r\n" );
document.write( "Binomial Distribution:  p(pass completion) = .62\r\n" );
document.write( "Using TI or similarly an inexpensive calculator like a Casio fx-115 ES plus \r\n" );
document.write( "n = 16\r\n" );
document.write( "(a) P(x = 12) = binompdf(16, .62, 12) = .1224\r\n" );
document.write( "(b) P(x > 6) = 1 - P(x ≤ 6)= 1 - binomcdf(16, .62, 6) = 1-.0411 = .9589\r\n" );
document.write( "(c) Expected = .62 * 16 = 9.92  or 9 (rounded down to whole number)\r\n" );
document.write( "\r\n" );
document.write( "Important You are  comfortable using Your Calculator.\r\n" );
document.write( "(a) w/o using TI function:  = .1224\r\n" );
document.write( "(b) w/o using TI binomcdf function: P(x=0)+ P(x=1)+ P(x=2)+ P(x=3)+ P(x=4)+P(x=5)+P(x=6)\r\n" );
document.write( "Wish You the Best in your Studies.\r\n" );
document.write( "

\n" ); document.write( "

\n" );