document.write( "Question 1196579: The probability that an international flight leaving the United States is delayed in departing (event D) is .35. The probability that an international flight leaving the United States is a transpacific flight (event P) is .40. The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .14.
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\n" ); document.write( "(a) What is the probability that an international flight leaving the United States is delayed in departing given that the flight is a transpacific flight? (Round your answer to 4 decimal places.)
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Algebra.Com's Answer #829482 by ikleyn(52817) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "The probability that an international flight leaving the United States is delayed in departing (event D)
\n" ); document.write( "is .35. The probability that an international flight leaving the United States is a transpacific
\n" ); document.write( "flight (event P) is .40. The probability that an international flight leaving the U.S. is
\n" ); document.write( "a transpacific flight and is delayed in departing is .14.\r
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\n" ); document.write( "\n" ); document.write( "(a) What is the probability that an international flight leaving the United States is delayed in departing
\n" ); document.write( "given that the flight is a transpacific flight? (Round your answer to 4 decimal places.)
\n" ); document.write( "(b) In this problem, are D and P independent?
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\n" ); document.write( "\n" ); document.write( " Part (a)\r
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document.write( "You are given three facts :\r\n" );
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document.write( "    - The probability that an international flight leaving the United States is delayed in departing (event D) is 0.35.\r\n" );
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document.write( "    - The probability that an international flight leaving the United States is a transpacific flight (event P) is 0.40.\r\n" );
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document.write( "    - The probability that an international flight leaving the U.S. is a transpacific flight and is delayed in departing is .14.\r\n" );
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document.write( "          This event is the intersection of events D and P, so you are given the probability of intersection of these events\r\n" );
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document.write( "               p( D ∩ P ) = 0.14.\r\n" );
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document.write( "The problem's question asks about the conditional probability  P(D|P).\r\n" );
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document.write( "By the definition, for any two events P and D, the conditional probability  P(D|P) is this fraction\r\n" );
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document.write( "               p(D|P) = p ( D ∩ P ) / p(P).\r\n" );
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document.write( "Substitute the given data into this formula, and you will get\r\n" );
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document.write( "              p(D|P) =  = 0.35.\r\n" );
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document.write( "It is your ANSWER :   The probability that an international flight leaving the United States is delayed in departing \r\n" );
document.write( "                      given that the flight is a transpacific flight is 0.35.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Part (a) is complete.\r
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\n" ); document.write( "\n" ); document.write( " Part (b)\r
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document.write( "To answer this question, you should sheck if  p ( D ∩ P ) = p(D) * p(P).\r\n" );
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document.write( "Left  side is 0.14 (given).\r\n" );
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document.write( "Right side is 0.35*0.4 = 0.14.\r\n" );
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document.write( "Hence the events D and P are independent.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Part (b) is complete.\r
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\n" ); document.write( "\n" ); document.write( "If you want to see many similar solved problems and learn more on conditional probability, look into the lessons\r
\n" ); document.write( "\n" ); document.write( " - Conditional probability problems \r
\n" ); document.write( "\n" ); document.write( " - More conditional probability problems \r
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