document.write( "Question 1197154: The random variable X has a binomial distribution with n = 7 and p = 0.44.\r
\n" ); document.write( "\n" ); document.write( "Calculate P(4). Enter your answer as a decimal with four decimal places. \n" ); document.write( "
Algebra.Com's Answer #830297 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Binomial distribution:  p = .44 , n=7\r\n" );
document.write( "Find P(4)\r\n" );
document.write( "\r\n" );
document.write( "Using Formula (Recommend Using stattrek.com to check results)\r\n" );
document.write( "Using \"P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+\" \r\n" );
document.write( "p and q are the probabilities of success and failure respectively. \r\n" );
document.write( "p = .44 , q = .56  \"nCx+=+%28n%21%29%2Fx%21%28n+-+x%29%21%29\" = 35 (Using nCr button on Calculator)\r\n" );
document.write( "\"P+%284%29=+highlight_green%2835%29%28.44%5E4%29%28.56%29%5E%283%29+\" = .2304\r\n" );
document.write( "\r\n" );
document.write( "Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus\r\n" );
document.write( "P(x) is binompdf(n, p, x-value).\r\n" );
document.write( "P(4) = binompdf(7, .44, 4)= .2304\r\n" );
document.write( "\r\n" );
document.write( "Feeling comfortable with Your calculator is key to Your success working\r\n" );
document.write( "with the various Distributions.\r\n" );
document.write( "
\n" ); document.write( "
\n" );