document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=867167>Question 867167</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need your help with this one, cause i am completely stuck.\r<BR>\n" );
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document.write( "Let X binominal variable with parameters N, p.<BR>\n" );
document.write( "It is reminded that X expresses the number of successes that occur from the execution of N independent Bernoulli experiments, each of them with probability of success p.\r<BR>\n" );
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document.write( "a) Given that X=1, find the probability that the unique success came from the first experiment.<BR>\n" );
document.write( "b) Given that X=2, find the probability that the 2 successes happened at the first two experiments.<BR>\n" );
document.write( "c) Taking into consideration the answers on the previous two questions, suppose that X=k, where 1<=k<=N and say what you notice about the way the k successes are distributed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #522812 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=522812\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Re: TY <BR>\n" );
document.write( "Have no capability of going that far back in postings.  So many...more recent<BR>\n" );
document.write( "for<BR>\n" );
document.write( "C) It seems originally, I did use P(k) = p^k, only replaced the k  with x as<BR>\n" );
document.write( "x is a variable normally used in Probability. P(k) = p^k more politically correct, given the question.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+ ALIGN=MIDDLE  ALT=\"P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "a)n = 1,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+%281%29=+highlight_green%281C1%29%28p%5E1%29 ALIGN=MIDDLE  ALT=\"P+%281%29=+highlight_green%281C1%29%28p%5E1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = p^1,  1 trail, one success<BR>\n" );
document.write( "b)n = 2, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+%282%29=+highlight_green%282C2%29%28p%5E2%29 ALIGN=MIDDLE  ALT=\"P+%282%29=+highlight_green%282C2%29%28p%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = p^2,   2 trials. two successes<BR>\n" );
document.write( "c) n = k,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+%28k%29=+highlight_green%28kCk%29%28p%5Ek%29 ALIGN=MIDDLE  ALT=\"P+%28k%29=+highlight_green%28kCk%29%28p%5Ek%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = p^k  just following the pattern n = x<BR>\n" );
document.write( "If there was continual success in 100 trials, For ex: P(of that happening) = p^100<BR>\n" );
document.write( "My take was the probability of ALL successes encompassing any number of trials.\r<BR>\n" );
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document.write( "Re: *TIP* that X can be written as X=I1+I2+....+In, <BR>\n" );
document.write( "where Ii are the random variables Bernoulli with probability of success p<BR>\n" );
document.write( "Apply as You wish </SPAN>\n" );
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