document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=493497>Question 493497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A) Find the binomial probability P(x = 6), where n = 15 and p = 0.70.<BR>\n" );
document.write( "(B) Set up, without solving, the binomial probability P(x is at most 6) using probability notation.<BR>\n" );
document.write( "(C) How would you find the normal approximation to the binomial probability P(x = 6) 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 #335389 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=335389\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A) Find the binomial probability P(x = 6), where n = 15 and p = 0.70.<BR>\n" );
document.write( "P(x=6) = 15C6(0.7)^6*(0.3)^9 = 0.0116<BR>\n" );
document.write( "------------------------------------------<BR>\n" );
document.write( "(B) Set up, without solving, the binomial probability P(x is at most 6) using probability notation.<BR>\n" );
document.write( "P(0<= x <=6) = (0.3)^15 + 15C1(0.7)(0.3)^14+...+15C6(0.7)^6(0.3)^9<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "(C) How would you find the normal approximation to the binomial probability P(x = 6) 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( "---<BR>\n" );
document.write( "mean = u = np = 15*0.7 = 10.5<BR>\n" );
document.write( "std = s = sqrt(npq) = sqrt(15*0.7*0.3) = 1.7748<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "Using normal approximation:<BR>\n" );
document.write( "P(x = 6) = P(5.5 < x < 6.5)<BR>\n" );
document.write( "Find the z values 5.5 and of 6.5<BR>\n" );
document.write( "Find the probability of z being between those z-values.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============== </SPAN>\n" );
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