document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=405932>Question 405932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Answer the following:<BR>\n" );
document.write( "(A) Find the binomial probability P(x = 5), where n = 12 and p = 0.60.<BR>\n" );
document.write( "(B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation.<BR>\n" );
document.write( "(C) How would you find the normal approximation to the binomial probability P(x = 5) in part A?  Please show how you would calculate µ and &#963; in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the calculations. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #286641 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=286641\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (A) Find the binomial probability P(x = 5), where n = 12 and p = 0.60.<BR>\n" );
document.write( "Ans: 12C5(0.6)^5*(0.4)^7 = 0.1009<BR>\n" );
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document.write( "(B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation.<BR>\n" );
document.write( "Ans: 12C0(0.6)^0*0.4^12+12C1(0.6)(0.4)^11+...+12C5(0.6)^5*(0.4)^7<BR>\n" );
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document.write( "(C) How would you find the normal approximation to the binomial probability P(x = 5) in part A? <BR>\n" );
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document.write( "Find the z-values of 4.5 and 5.5<BR>\n" );
document.write( "Find the probability z is between those two z-values.<BR>\n" );
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document.write( "Please show how you would calculate µ and &#963; in the formula for the normal approximation to the binomial, and show the final formula you would use without going through all the calculations.\r<BR>\n" );
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document.write( "u = np = 12*0.6 = 7.2<BR>\n" );
document.write( "sigma = sqrt(npq) = sqrt(7.2*0.4) <BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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