document.write( "Question 1165591: It is reported that in the Congress, 60% are in favor of the Death Penalty
\n" ); document.write( "Law. If a group of 10 congressmen is chosen at random, find the probability
\n" ); document.write( "that at least 8 are in favor of the Death Penalty Law.\r
\n" ); document.write( "\n" ); document.write( "a. 0.16729 b. 0.26729 c. 0.36729 d. 0.46729 \n" ); document.write( "
Algebra.Com's Answer #790099 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
It is reported that in the Congress, 60% are in favor of the Death Penalty
\n" ); document.write( "Law. If a group of 10 congressmen is chosen at random, find the probability
\n" ); document.write( "that at least 8 are in favor of the Death Penalty Law.\r
\n" ); document.write( "\n" ); document.write( "a. 0.16729 b. 0.26729 c. 0.36729 d. 0.46729
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document.write( "Since the TI-84 calculator only calculates the lower values, (fewer than or\r\n" );
document.write( "equal to), we must do one of two things.  It will be instructive if you\r\n" );
document.write( "learn BOTH ways.\r\n" );
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document.write( "Method 1. Reinterpret the problem as a \"fewer than or equal to\" problem this\r\n" );
document.write( "way:\r\n" );
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It is reported that in the Congress, 40% are NOT in favor of the Death
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\n" ); document.write( "probability that 2 or fewer are NOT in favor of the Death Penalty Law.
Think about it! That is the exact same problem! And it will have the same\r\n" );
document.write( "answer.\r\n" );
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document.write( "To do it this way, on your TI-84, press 2ND VARS\r\n" );
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document.write( "Use the down arrow key to highlight B:binomcdf(\r\n" );
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document.write( "Press ENTER\r\n" );
document.write( "  \r\n" );
document.write( "If you see this, make it read:\r\n" );
document.write( "\r\n" );
document.write( "              binomcdf\r\n" );
document.write( "      trials:10\r\n" );
document.write( "      p:0.4\r\n" );
document.write( "      x value:2\r\n" );
document.write( "      Paste\r\n" );
document.write( "\r\n" );
document.write( "Use the down arrow key to highlight Paste\r\n" );
document.write( "\r\n" );
document.write( "Press ENTER\r\n" );
document.write( "\r\n" );
document.write( "You will see:\r\n" );
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document.write( "binomcdf(10,0.4,2)\r\n" );
document.write( "\r\n" );
document.write( "Press ENTER\r\n" );
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document.write( "You will see a decimal value.  I won't tell you what it is, so you'll\r\n" );
document.write( "have to do it yourself.\r\n" );
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document.write( "---OR--\r\n" );
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document.write( "Method 2. Find the complement event which is a \"fewer than or equal to\"\r\n" );
document.write( "problem, then subtract from 1.\r\n" );
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document.write( "The complement event is:
find the probability that 7 or fewer are in favor of the Death Penalty Law.
\r\n" );
document.write( "On your TI-84, press 2ND VARS\r\n" );
document.write( "\r\n" );
document.write( "Use the down arrow key to highlight B:binomcdf(\r\n" );
document.write( "\r\n" );
document.write( "Press ENTER\r\n" );
document.write( "  \r\n" );
document.write( "If you see this, make it read:\r\n" );
document.write( "\r\n" );
document.write( "              binomcdf\r\n" );
document.write( "      trials:10\r\n" );
document.write( "      p:0.6\r\n" );
document.write( "      x value:7\r\n" );
document.write( "      Paste\r\n" );
document.write( "\r\n" );
document.write( "Use the down arrow key to highlight Paste\r\n" );
document.write( "\r\n" );
document.write( "Press ENTER\r\n" );
document.write( "\r\n" );
document.write( "You will see:\r\n" );
document.write( "\r\n" );
document.write( "binomcdf(10,0.6,7)\r\n" );
document.write( "\r\n" );
document.write( "You will see a decimal value.  I won't tell you what it is, so you'll\r\n" );
document.write( "have to do it yourself.\r\n" );
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document.write( "But that is the answer to to COMPLEMENT event problem, but NOT the answer\r\n" );
document.write( "to your problem.  To get the answer to your problem you must subtract that value from 1.\r\n" );
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document.write( "Then you will get the same answer as Method 1.\r\n" );
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document.write( "Edwin
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