document.write( "Question 1203053: A baseball player has a probability of 0.2 hitting the ball each time at bat, with successive times at bat being independent.\r
\n" ); document.write( "\n" ); document.write( "Calculate the probability that he gets at least 2 hits in 11 times at bat.\r
\n" ); document.write( "\n" ); document.write( "The probability is: \n" ); document.write( "

Algebra.Com's Answer #838305 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A baseball player has a probability of 0.2 hitting the ball each time at bat,
\n" ); document.write( "with successive times at bat being independent.
\n" ); document.write( "Calculate the probability that he gets at least 2 hits in 11 times at bat.
\n" ); document.write( "~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "It is a typical problem on binomial distribution probability.\r\n" );
document.write( "\r\n" );
document.write( "The number of trials is n= 11; \r\n" );
document.write( "the probability of success of each individual trial is p= 0.2;\r\n" );
document.write( "the successful trials indexes are 2 or 3 or 4 or 5 or 6 or 7 or 8 or 9 or 10 or 11.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    So,  P = P(2) + P(3) + P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10) + P(11).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Having so many calculations to do, it is better (more economic and more efficient way) \r\n" );
document.write( "to transform the formula equivalently\r\n" );
document.write( "\r\n" );
document.write( "      P = 1 - P(0) - P(1) =  = \r\n" );
document.write( "\r\n" );
document.write( "        =  = 0.6779  (rounded).    ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );