document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=481453>Question 481453</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 = 14 and p = 0.70.<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\r<BR>\n" );
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document.write( "Thanks <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #329663 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=329663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Answer the following:<BR>\n" );
document.write( "(A) Find the binomial probability P(x = 5), where n = 14 and p = 0.70.<BR>\n" );
document.write( "Ans: 14C5(0.7)^5(0.3)^9 = binompdf(14,0.7,5) = 0.00660.7746<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( "P(0<= x <=5) = 14C0(0.7)^0*(0.3)^14+14C1(0.7)*(0.3)^13+ etc.<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" );
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<BR>\n" );
document.write( "u = np = 14*0.7 = 2<BR>\n" );
document.write( "s = sqrt(npq) = sqrt(2*0.3) = 0.7746<BR>\n" );
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document.write( "binomial probability (x = 5)<BR>\n" );
document.write( "equals normal approximation probability (4.5 < x < 5.5)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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