document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=982270>Question 982270</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (a) It is noted that 8% of ART students are left handed. if 20 students are randomly selected, calculate the <BR>\n" );
document.write( "i. Probability that none of them are left-handed,\r<BR>\n" );
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document.write( "ii. Probability that at most 2 are left-handed,\r<BR>\n" );
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document.write( "iii. Standard deviation for the number of left-handed students\r<BR>\n" );
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document.write( "(B)if 50 classes of 20 students are randomly selected, what is the probability that 10 classes have no left-handed students?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603144 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=603144\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The probability of k successes in n trials where the probability of success (p) on any given trial is found by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P(k;n,p)\ =\ {{n} \choose{k}}p^k(1-p)^{n-k}\">\r<BR>\n" );
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document.write( "where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE {{n} \choose{k}}\"> is the number of combinations of n things taken k at a time or <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{n!}{k!(n-k)!}\">\r<BR>\n" );
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document.write( "The cumulative probability of at most k successes in n trials where the probability of success (p) on any given trial is found by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ P(\leq k;n,p)\ =\ \sum_{j=0}^k\,{{n} \choose{j}}p^j(1-p)^{n-j}\">\r<BR>\n" );
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document.write( "The standard deviation of the binomial distribution is given by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \sigma\ =\ \sqrt{np(1-p)}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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