document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=910743>Question 910743</A>: <I><SPAN STYLE=\"word-break: break-all;\">  a certain type are defective. Let the random variable X represent the number of defective Smart TVs, of the same brand, in a shipment. Suppose you wish to find the probability that X = 8. Does the random variable have a binomial or poisson distribution. how can you tell. If X is binomial distribution, would it be reasonable to use the poisson approximation? If not, why not? solve the problem to arrive at answer for P(X=8) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #552634 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=552634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A Poisson experiment examines the number of times an event occurs during a specified interval.<BR>\n" );
document.write( "What is a binomial experiment? \r<BR>\n" );
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document.write( "A binomial experiment has the following characteristics:<BR>\n" );
document.write( "&#9726; The experiment involves repeated trials. <BR>\n" );
document.write( "&#9726; Each trial has only two possible outcomes - a success or a failure. (def, not def<BR>\n" );
document.write( "&#9726; The probability that a particular outcome will occur on any given trial is constant. <BR>\n" );
document.write( "&#9726; All of the trials in the experiment are independent.\r<BR>\n" );
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document.write( "Using <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+%288%29=+highlight_green%28nC8%29%28p%5E8%29%28q%29%5E%28n-8%29+ ALIGN=MIDDLE  ALT=\"P+%288%29=+highlight_green%28nC8%29%28p%5E8%29%28q%29%5E%28n-8%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "p and q are the probabilities of def and not def respectively. <BR>\n" );
document.write( "n = how many shipped<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=nCx+=+%28n%21%29%2Fx%21%28n+-+x%29%21%29 ALIGN=MIDDLE  ALT=\"nCx+=+%28n%21%29%2Fx%21%28n+-+x%29%21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( " </SPAN>\n" );
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