document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171819>Question 1171819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You are a teacher of a classroom of 10 students. There is a probability of P=.30 that any one student will have a peanut allergy, this does not change between students. You want to get a estimate about the number of students who might be allergic to peanut butter in your class\r<BR>\n" );
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document.write( "What is the distribution that you will use for this data? (1)\r<BR>\n" );
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document.write( "Please calculate the probability of having 3,4, or 5 students who having a peanut allergy in the class? (3)\r<BR>\n" );
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document.write( "What is the average and standard deviation of this distribution? (2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #796748 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=796748\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> binomial ~(10,0.3)<BR>\n" );
document.write( "average is 10*0.3=3<BR>\n" );
document.write( "variance is 3*0.7=2.1<BR>\n" );
document.write( "sd is sqrt(V)=1.45\r<BR>\n" );
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document.write( "prob of 3 is 10C3*0.3^3*0.7^7=0.2668<BR>\n" );
document.write( "for 4 the same approach or binompdf(10,0.4,4)=0.2508<BR>\n" );
document.write( "for 5 it is 0.1029<BR>\n" );
document.write( "sum and answer is 0.6205 </SPAN>\n" );
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