document.write( "Question 1145319: Let E, F be events; p(E)= 0.6, p(F)= 0.4, p(E and F)= .15\r
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document.write( "Find p(E or F)\r
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document.write( "Find p(E^c)\r
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document.write( "Find p(E and F^c)
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Algebra.Com's Answer #766550 by ikleyn(52835)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "(a) p(E or F) = apply the general formula = p(E) + P(F) - p(E and F) = \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " = now substitute the given data = 0.6 + 0.4 - 0.15 = 0.85. ANSWER\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(B) p(E^c) = the complement to p(E) = 1 - p(E) = 1 - 0.6 = 0.4. ANSWER\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(C) the set ( E and F^c) consists of those elements of E that do not belong to F.\r\n" ); document.write( "\r\n" ); document.write( " In other words, ( E and F^c) is E \ (E and F).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " Therefore, p(E and F^c) = p(E) - p(E and F) = 0.6 - 0.15 = 0.45. ANSWER\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "-------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "All questions answered -- the problem is solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |