document.write( "Question 1197190: Assume that P(A) = 0.7, P(B) = 0.8, and
\n" ); document.write( "P(B and A) = 0.56.
\n" ); document.write( "a) Find P(A|B) and P(B|A).
\n" ); document.write( "b) Are events A and B independent? Explain. \n" ); document.write( "

Algebra.Com's Answer #830347 by ikleyn(52754) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "\r\n" );
document.write( "(a)  P(A|B) =  =  = 0.7.    ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     P(B|A) =  =  = 0.8.    ANSWER\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "(b)  Events A and B are independent         ANSWER  \r\n" );
document.write( "\r\n" );
document.write( "         because  P(A and B) = 0.56  is numerically the same as  P(A)*P(B) = 0.7*0.8 = 0.56.    \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" );