document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1066534>Question 1066534</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (1)A box contains 4 red and 5 white flowers. A random sample of 6 flowers is drawn without replacement from the box. Find the probability that the sample contains 3 red flowers.<BR>\n" );
document.write( "(2)Suppose the number of defective screws produced by a machine per day follows Poisson distribution with parameter 2. What is the probability that, out of the total production of the day, there are at least one defective screw?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #681789 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=681789\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The first is 4C3*5C3 all divided by 9C6, the number of ways of choosing the 6 flowers.<BR>\n" );
document.write( "=4*10/84=40/84<BR>\n" );
document.write( "That is 10/21<BR>\n" );
document.write( "The other possibilities are 2 red, 4 white, which is 30/84, 1 red and 5 white, 4 ways, and 4 red 2 white, which is 10 ways.<BR>\n" );
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document.write( "at least 1 is the same as 1-none.<BR>\n" );
document.write( "probability of none is e^(-2)*2^0/0! or e^(-2)=0.1353<BR>\n" );
document.write( "1- that probability is 0.8647. </SPAN>\n" );
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