document.write( "Question 403229: Hello, I am struggling with the following questions if anyone can help it would be greatly appreciated. \r
\n" ); document.write( "\n" ); document.write( "Find the mean of the distribution shown.
\n" ); document.write( "x 0 3 5
\n" ); document.write( "P(x) 0.36 0.40 0.24\r
\n" ); document.write( "\n" ); document.write( "The following distribution is not a probability distribution because
\n" ); document.write( "x -5 -4 -3 -2 -1
\n" ); document.write( "P(x) 0.11 0.16 0.42 0.16 0.30\r
\n" ); document.write( "\n" ); document.write( "The following distribution is not a probability distribution because
\n" ); document.write( "x -5 -4 -3 -2 -1
\n" ); document.write( "P(x) 0.20 0.20 –0.23 0.54 0.29\r
\n" ); document.write( "\n" ); document.write( "Find the mean of the distribution shown.
\n" ); document.write( "x 1 2
\n" ); document.write( "P(x) 0.46 0.54\r
\n" ); document.write( "\n" ); document.write( "Find the mean of the distribution shown.
\n" ); document.write( "x -3 -2 -1 0
\n" ); document.write( "P(x) 0.19 0.24 0.40 0.17\r
\n" ); document.write( "\n" ); document.write( "Find the mean of the distribution shown.
\n" ); document.write( "x 2 3 4
\n" ); document.write( "P(x) 0.30 0.24 0.46
\n" ); document.write( "

Algebra.Com's Answer #285172 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
I'll do one of each of the two types of problems
\n" ); document.write( "and leave the rest to you.
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\n" ); document.write( "\n" ); document.write( "Find the mean of the distribution shown.
\n" ); document.write( "x 0 3 5
\n" ); document.write( "P(x) 0.36 0.40 0.24
\n" ); document.write( "---
\n" ); document.write( "To determine the mean:
\n" ); document.write( "1st: Multiply each x value by its probability
\n" ); document.write( "2nd: Add the products to get the mean
\n" ); document.write( "x-bar = 0*36 + 3*0.40 + 5*0.24
\n" ); document.write( "x-bar = 0 + 1.2 + 1.2
\n" ); document.write( "x-bar = 2.4
\n" ); document.write( "--------------------------------
\n" ); document.write( "============================================\r
\n" ); document.write( "\n" ); document.write( "The following distribution is not a probability distribution because
\n" ); document.write( "x -5 -4 -3 -2 -1
\n" ); document.write( "P(x) 0.11 0.16 0.42 0.16 0.30
\n" ); document.write( "---
\n" ); document.write( "Rules:
\n" ); document.write( "1st: Each probability must be between 0 and 1
\n" ); document.write( "2nd: The sum of the probabilities must be 1.
\n" ); document.write( "----
\n" ); document.write( "Your Problem: The sum is > 1 so this is not a probability distribution.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The following distribution is not a probability distribution because
\n" ); document.write( "x -5 -4 -3 -2 -1
\n" ); document.write( "P(x) 0.20 0.20 –0.23 0.54 0.29
\n" ); document.write( "Find the mean of the distribution shown.
\n" ); document.write( "x 1 2
\n" ); document.write( "P(x) 0.46 0.54
\n" ); document.write( "Find the mean of the distribution shown.
\n" ); document.write( "x -3 -2 -1 0
\n" ); document.write( "P(x) 0.19 0.24 0.40 0.17
\n" ); document.write( "Find the mean of the distribution shown.
\n" ); document.write( "x 2 3 4
\n" ); document.write( "P(x) 0.30 0.24 0.46
\n" ); document.write( "
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