document.write( "Question 1132800: In an automated filling operation, the probability of an incorrect fill when the process is operated at a low speed is 0.001.When the process is operated at a high speed, the probability of an incorrect fill is 0.01. Assume that 30% of the containers? are filled when the process is operated at a high speed and the remainder are filled when the process is operated at a low speed.
\n" ); document.write( "(a) what is the probability of an incorrectly filled container?
\n" ); document.write( "(b) If an incorrectly filled container is found, what is the probability that it was filled during the high speed operation \n" ); document.write( "

Algebra.Com's Answer #749926 by ikleyn(52873) $\"\"$ $\"About$

You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(a) what is the probability of an incorrectly filled container?\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "      0.3*0.01 + (1-0.3)*0.001 = 0.0037 = 0.37%.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "(b) If an incorrectly filled container is found, what is the probability that it was filled during the high speed operation\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "      = 0.81081 = 81.81%.\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The formulas are self-explanatory.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );