document.write( "Question 1152079: The probability that a football player weighs more than 230 pounds is .69, that he is at
\n" );
document.write( "least 75 inches tall is .55, and that he weights more than 230 pounds and is at least 75 inches tall is .43. Find the probability that a randomly selected football player weighs more than 230 pounds or is at least 75 inches tall. \n" );
document.write( "
Algebra.Com's Answer #774020 by ikleyn(52782)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " The correct solution is as follows.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Use the general formula of the Probability theory\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " P(A U B) = P(A) + P(B) - P(A ∩ B).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In your case P(A) = 0.69 (weighs more than 230 pounds);\r\n" ); document.write( "\r\n" ); document.write( " P(B) = 0.55 (is at least 75 inches tall),\r\n" ); document.write( "\r\n" ); document.write( " P(A ∩ B) = 0.43 (weights more than 230 pounds and is at least 75 inches tall).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Substitute the given data into the formula and calculate\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " P(A U B) = 0.69 + 0.55 - 0.43 = 0.81. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved (correctly).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "--------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The solution by @Boreal is INCORRECT.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |