document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190077>Question 1190077</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, please help me out! I am having a hard time understanding different types of probability distributions.\r<BR>\n" );
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document.write( "Difference between  binomial and geometric distribution?\r<BR>\n" );
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document.write( "   a. Binomial distribution has dependent trials while geometric has independent trials\r<BR>\n" );
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document.write( "   b. Binomial distribution has independent trials while geometric distribution has dependent trials\r<BR>\n" );
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document.write( "   c. Geometric distribution involves counting success and binomial distribution involves waiting until success occurs\r<BR>\n" );
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document.write( "   d. Binomial distribution involves counting in successes while geometric distribution involves waiting until the success occurs (I think this is the correct one)\r<BR>\n" );
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document.write( "Difference between binomial and hypergeometric?\r<BR>\n" );
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document.write( "   a. The binomial distribution involves independent trials while the hypergeometric distribution involves dependent trials (I think this is the correct one)\r<BR>\n" );
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document.write( "   b. The binomial distribution involves counting success in a specific number of trials and hypergeometric involves waiting time until success\r<BR>\n" );
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document.write( "   c. The hypergeometric involves counting successes in a specific number of trials, while binomial distribution involves waiting time until success\r<BR>\n" );
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document.write( "   d. Binomial distribution involves dependent trials and hypergeometric distribution involves independent trials\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #821635 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=821635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Problem 1) Choice D is correct. \r<BR>\n" );
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document.write( "The binomial is useful to answer questions like \"what is the probability of X number of successes\" where X is some nonnegative whole number 0,1,2,3,... while the geometric distribution is useful to find the probability of when the first success happens.<BR>\n" );
document.write( "Both involve independent trials, and the probability of success for any given trial is the same.\r<BR>\n" );
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document.write( "Problem 2) Choice A is correct.\r<BR>\n" );
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document.write( "The hypergeometric distribution involves sampling without replacement. <BR>\n" );
document.write( "This will lead to probability values changing as the experiment continues; hence the trials are not independent.<BR>\n" );
document.write( "If sampling is done with replacement, then a binomial distribution is used instead. By this point, each event is independent.\r<BR>\n" );
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document.write( "Nice work on getting both answers correct. Also I appreciate you showing your thought process rather than simply asking the questions. <BR>\n" );
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