document.write( "Question 1172476: If P(A) = 0.35 and P(B)=0.66 and P(A ∩B)= 0.231. Verify whether\r
\n" );
document.write( "\n" );
document.write( "i)Events A and B are mutually exclusive
\n" );
document.write( "ii)Events A and B are independent \n" );
document.write( "
Algebra.Com's Answer #797517 by ikleyn(52797)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "(i) Events A and B are mutually exclusive if and only if P(A ∩ B) = 0.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Since in our case P(A ∩ B) = 0.231 is not zero, the events A and B are NOT mutually exclusive.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "{ii) Check if P(A)*P(B) = P(A ∩ B).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " This condition is a necessary and sufficient condition for events A and B to be independent.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " You can easily make this simple check on your own.\r\n" ); document.write( "\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |