document.write( "Question 1166444: Suppose that at any sitting of BUSI319, 35% of the students are first year; 30% are second year; 25% are final year and 10% are qualifying to enter various programs (assume mutually exclusive). From records of the Statistics department, it was found that 20% of the first year students get A; 30% of the second year students get A; 35% of the final year students get A; 25% of the qualifying students get A. What is the probability a randomly chosen student will get an A? Given that a student got an A, what is the probability the student was first year? Second year? Third year? Qualifying?\r
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Algebra.Com's Answer #790959 by ikleyn(52795)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Suppose that at any sitting of BUSI319, 35% of the students are first year; 30% are second year;
\n" ); document.write( "25% are final year and 10% are qualifying to enter various programs (assume mutually exclusive).
\n" ); document.write( "From records of the Statistics department, it was found that
\n" ); document.write( "20% of the first year students get A; 30% of the second year students get A;
\n" ); document.write( "35% of the final year students get A; 25% of the qualifying students get A. \r
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document.write( "(a)  What is the probability a randomly chosen student will get an A? \r\n" );
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document.write( "         P = 0.35*0.2 + 0.3*0.3 + 0.25*0.35 + 0.1*0.25.\r\n" );
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document.write( "(b)  Given that a student got an A, what is the probability the student was first year? \r\n" );
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document.write( "        P = \"%280.35%2A0.2%29%2F%280.35%2A0.2+%2B+0.3%2A0.3+%2B+0.25%2A0.35+%2B+0.1%2A0.25%29\".\r\n" );
document.write( "     \r\n" );
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document.write( "(c)  Second year? \r\n" );
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document.write( "        P = \"%280.3%2A0.3%29%2F%280.35%2A0.2+%2B+0.3%2A0.3+%2B+0.25%2A0.35+%2B+0.1%2A0.25%29\".\r\n" );
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document.write( "(d)  Third year? \r\n" );
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document.write( "        P = \"%280.25%2A0.35%29%2F%280.35%2A0.2+%2B+0.3%2A0.3+%2B+0.25%2A0.35+%2B+0.1%2A0.25%29\".\r\n" );
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document.write( "(e)  Qualifying?\r\n" );
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document.write( "        P = \"%280.1%2A0.25%29%2F%280.35%2A0.2+%2B+0.3%2A0.3+%2B+0.25%2A0.35+%2B+0.1%2A0.25%29\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.     //   All questions are answered.\r
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\n" ); document.write( "\n" ); document.write( "To develop further your knowledge and solving skills in elementary probability problems, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Simple and simplest probability problems \r
\n" ); document.write( "\n" ); document.write( "    - Solving probability problems using complementary probability \r
\n" ); document.write( "\n" ); document.write( "    - Elementary Probability problems related to combinations \r
\n" ); document.write( "\n" ); document.write( "    - A True/False test \r
\n" ); document.write( "\n" ); document.write( "    - A multiple choice answers test\r
\n" ); document.write( "\n" ); document.write( "    - Conditional probability problems \r
\n" ); document.write( "\n" ); document.write( "    - Typical probability problems from the archive \r
\n" ); document.write( "\n" ); document.write( "    - Experimental probability problems \r
\n" ); document.write( "\n" ); document.write( "    - Elementary operations on sets help solving Probability problems \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic  \"Solved problems on Probability\". \r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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\n" ); document.write( "\n" ); document.write( "Consider these lessons as your textbook,  handbook,  a Solutions Manual,  tutorials and  (free of charge)  home teacher.\r
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\n" ); document.write( "\n" ); document.write( "Happy learning (!)\r
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