document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=639337>Question 639337</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Help...<BR>\n" );
document.write( "Answer the following:<BR>\n" );
document.write( "(A) Find the binomial probability P(x = 4), where n = 12 and p = 0.30.<BR>\n" );
document.write( "(B) Set up, without solving, the binomial probability P(x is at most 4) using probability notation.<BR>\n" );
document.write( "(C) How would you find the normal approximation to the binomial probability P(x = 4) 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 #402700 by </B><A HREF=/tutors/aboutme.mpl?userid=reviewermath><B>reviewermath(1029)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=reviewermath><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/cgi-bin/show-face.mpl?user=reviewermath><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=402700\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X+=+4%29+=+%28matrix%282%2C1%2C12%2C4%29%29%280.3%5E4%29%280.7%5E8%29+=+highlight%280.23114%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X+%3C=+4%29+=+sum%28%28matrix%282%2C1%2C12%2Cx%29%29%280.3%5Ex%29%280.7%5E%2812-x%29%29%2Cx=0%2C4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c. µ = np = 12(0.3) = 3.6<BR>\n" );
document.write( "  and &#963; = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28npq%29+=+sqrt%28%2812%29%280.3%29%280.7%29%29+=+1.58745 ALIGN=MIDDLE  ALT=\"sqrt%28npq%29+=+sqrt%28%2812%29%280.3%29%280.7%29%29+=+1.58745\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X+=+4%29=+P%283.5+%3C=+X+%3C=+4.5%29 ALIGN=MIDDLE  ALT=\"P%28X+=+4%29=+P%283.5+%3C=+X+%3C=+4.5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   &#8776;<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+P%28%283.5-3.6%29%2F1.58745+%3C=+Z+%3C=+%284.5-3.6%29%2F1.58745%29 ALIGN=MIDDLE  ALT=\"+P%28%283.5-3.6%29%2F1.58745+%3C=+Z+%3C=+%284.5-3.6%29%2F1.58745%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );