document.write( "Question 1189199: x= P(x) = \r
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document.write( "0 0.68
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document.write( "1 0.2
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document.write( "2 0.06
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document.write( "3 0.04
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document.write( "4 0.02\r
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document.write( "Find P(X>1). Ans: 0.12. I don't understand how to find the P. Shouldn't it be zero? \n" );
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Algebra.Com's Answer #820522 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Given table: \n" ); document.write( "
\n" ); document.write( "P(X>1) is asking you to add up all of the probabilities in the second column that correspond to X values larger than 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So we'll add up these probabilities: {0.06, 0.04, 0.02} since they correspond to X = 2 through X = 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.06+0.04+0.02 = 0.12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "That's why P(X>1) = 0.12 \n" ); document.write( "There's a 12% chance of X being larger than 1.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As the tutor Boreal pointed out, you can take a (slight) shortcut in adding the probabilities for X = 0 and X = 1, then subtracting that sum from 1. This is because P(A) + P(B) = 1 where A is the event of getting X to be 0 or 1; while B is the event of getting X > 1. One or the other must happen. The events are complementary. We can rearrange that previous equation into P(B) = 1 - P(A). \n" ); document.write( " \n" ); document.write( " |