document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=478361>Question 478361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ples please someone....I NEED HELP WITH THIS QUESTION I HAVE SUBMITTED IT SEVERAL TIMES THE FIRST TIME I DID NOT GIVE ALL OF THE INFORMATION, THE SECOND TIME I PUT IN THE WRONG EMAIL ADDRESS....I DESPERATELY NEED HELP WITH IT I DO NOT KNOW WHERE TO BEGIN AND CAN NOT FIND AN EXAMPLE THAT CAN GUIDE ME ALONG THE WAY SO THAT I WILL EVEN KNOW WHERE TO BEGIN....PLEASE HELP!!!! LET X BE A RANDOM VARIABLE WITH THE FOLLOWING PROBAILITY DISTRIBUTION\r<BR>\n" );
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document.write( "X     0     1     2     3\r<BR>\n" );
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document.write( "P(X)    0.4    0.3   0.2    0.1\r<BR>\n" );
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document.write( "DOES X HAVE A BINOMIAL DISTRIBUTION JUSTIFY YOUR ANSWER </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #327764 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=327764\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It doesn't look like it.<BR>\n" );
document.write( "here's a reference on binomial distribuion<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://stattrek.com/tables/binomial.aspx#distribution\" target = \"_blank\">http://stattrek.com/tables/binomial.aspx#distribution</a><BR>\n" );
document.write( "the binomial distribution approximates the normal distribution when the number of trials is large the the probability of success or failure is not extreme.<BR>\n" );
document.write( "the normal distribution is a bell shaped curve where the mean is in the middle and 50% of the values are below the mean and 50% of the values are above the mean.<BR>\n" );
document.write( "the binomial distribution is based on the binomial.<BR>\n" );
document.write( "this reference has a calculator.<BR>\n" );
document.write( "you enter the probability of success and the number of trials and the number of successes and then hit the return.<BR>\n" );
document.write( "it will look like it went and did your calculations for you but it didn't.<BR>\n" );
document.write( "you have to click on the calculate button before it does its thing.<BR>\n" );
document.write( "perhaps you don't even need to hit the return.<BR>\n" );
document.write( "try it, you'll see what i mean.<BR>\n" );
document.write( "i believe that the binomial distribution stems from the binomial expansion formula.<BR>\n" );
document.write( "here's a link that explains that.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://www.regentsprep.org/Regents/math/algtrig/ATP4/bintheorem.htm\" target = \"_blank\">http://www.regentsprep.org/Regents/math/algtrig/ATP4/bintheorem.htm</a><BR>\n" );
document.write( "the formula for determining the probability of x out of n successes is:<BR>\n" );
document.write( "p(x) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5Ex%2Af%5E%28n-x%29%2AnCx ALIGN=MIDDLE  ALT=\"s%5Ex%2Af%5E%28n-x%29%2AnCx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s is the probability of success.<BR>\n" );
document.write( "f is the probability of failure.<BR>\n" );
document.write( "x is the number of successes.<BR>\n" );
document.write( "n is the total number in the sample.<BR>\n" );
document.write( "nCx is the combination formula for the number of ways to get x things out of n things.<BR>\n" );
document.write( "example:<BR>\n" );
document.write( "n = 10<BR>\n" );
document.write( "x = 3<BR>\n" );
document.write( "s = .2<BR>\n" );
document.write( "f = 1-s = .8<BR>\n" );
document.write( "p(3) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.2%5E3+%2A+.8%5E7+%2A+10C3 ALIGN=MIDDLE  ALT=\".2%5E3+%2A+.8%5E7+%2A+10C3\"   DISABLED_style= \"max-width:90%; height:auto;\" > which becomes:<BR>\n" );
document.write( "p(3) = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=.2%5E3+%2A+.8%5E7+%2A+10%21+%2F+%283%21+%2A+7%21%29 ALIGN=MIDDLE  ALT=\".2%5E3+%2A+.8%5E7+%2A+10%21+%2F+%283%21+%2A+7%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "here's a table of data i created for this problem.<BR>\n" );
document.write( "n = 10<BR>\n" );
document.write( "x = 0 to 10<BR>\n" );
document.write( "p(s) = .2<BR>\n" );
document.write( "p(f) = .8<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "x	p(x)\r\n" );
document.write( "0	0.107374182\r\n" );
document.write( "1	0.268435456\r\n" );
document.write( "2	0.301989888\r\n" );
document.write( "3	0.201326592\r\n" );
document.write( "4	0.088080384\r\n" );
document.write( "5	0.026424115\r\n" );
document.write( "6	0.005505024\r\n" );
document.write( "7	0.000786432\r\n" );
document.write( "8	7.3728E-05\r\n" );
document.write( "9	0.000004096\r\n" );
document.write( "10	1.024E-07\r\n" );
document.write( "</PRE><BR>\n" );
document.write( "here's a picture of the bar graph that was created from this data.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/problems/distribution_1.jpg\" alt = \"$$$$\"/ ><BR>\n" );
document.write( "you can see that this bar graph approximates a normal distribution which is very similar to a binomial distribution.<BR>\n" );
document.write( "any questions, write to dtheophilis@yahoo.com<BR>\n" );
document.write( "hopefully this helps you understand better what the binomial distribution is and what it looks like.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );