document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=698767>Question 698767</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (A) Find the binomial probability P(x = 6), where n = 15 and p = 0.50.<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\r<BR>\n" );
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document.write( "somebody please help me </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431029 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=431029\">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 = 0.50.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "P(x=6) = 15C6*0.5^6*0.5^9 = 15C6/2^15 = 5005/32758 = 0.1527<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) = binomcdf(15,0.5,6)<BR>\n" );
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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 <BR>\n" );
document.write( "---<BR>\n" );
document.write( "u = np = 15*0.5 = 7.5<BR>\n" );
document.write( "s = sqrt(npq) = sqrt(7.5*0.5) = 1.936<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "P(x = 6) = P(5.5< x <6.5)<BR>\n" );
document.write( "z(5.5) = (5.5-7.5)/1.936 = -1.0331<BR>\n" );
document.write( "z(6.5) = (6.5-7.5)/1.936 = -0.5165<BR>\n" );
document.write( "----<BR>\n" );
document.write( "P(x = 6) = P(5.5< x < 6.5) = P(-1.0331< z < -0.5165) = 0.1520<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );