document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=672683>Question 672683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please help me to understand this problem. I am not sure how to go about even trying to do it. Thanks in advance it is very much appreciated.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Answer the following:\r<BR>\n" );
document.write( "\n" );
document.write( "(A) Find the binomial probability P(x = 5), where n = 14 and p = 0.30.\r<BR>\n" );
document.write( "\n" );
document.write( "(B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation.\r<BR>\n" );
document.write( "\n" );
document.write( "(C) How would you find the normal approximation to the binomial probability P(x = 5) in part A?  \r<BR>\n" );
document.write( "\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. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418267 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=418267\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (A) Find the binomial probability P(x = 5), where n = 14 and p = 0.30.<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "P(x = 5) = 14C5*0.3^5*0.7^9 = binompdf(14,0.3,5) = 0.1963<BR>\n" );
document.write( "------------------- <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( "P(0<= x <=5) = binomcdf(14,0.3,5) = 0.1963<BR>\n" );
document.write( "I used a TI-84+<BR>\n" );
document.write( "-------------------------- <BR>\n" );
document.write( "(C) How would you find the normal approximation to the binomial probability <BR>\n" );
document.write( "P(x = 5) in part A?<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "The noral approx calls for P(4.5<= x <=5.5)<BR>\n" );
document.write( "u = np = 14*0.3 = 4.2<BR>\n" );
document.write( "std = sqrt(npq) = sqrt(4.2*0.7) = 1.71<BR>\n" );
document.write( "---<BR>\n" );
document.write( "z(4.5) = (4.5-4.2)/1.71 = 0.1754<BR>\n" );
document.write( "z(5.5) = (5.5-4.2)/1.71 = 0.7502<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "P(4..5<= x <=5.5) = P(0.1754<= z <=0.7502) = 0.2038<BR>\n" );
document.write( "==============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );