document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=922519>Question 922519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Consider the binomial random variable x with n = 39 and p = 0.4.\r<BR>\n" );
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document.write( "(a) Find the mean. (Give your answer correct to one decimal place.) <BR>\n" );
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document.write( "(b) Find the standard deviation. (Give your answer correct to two decimal places.) \r<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 #559588 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=559588\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  p = .4,  n = 39<BR>\n" );
document.write( "(a) Find the mean. .4*39 = 15.6 (Give your answer correct to one decimal place.) <BR>\n" );
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document.write( " (b) Find the standard deviation. sqrt(.4*39*.6)= 3.06 (Give your answer correct to two decimal places.)  <BR>\n" );
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document.write( " A binomial random variable has a mean equal to 212 and a standard deviation of 8. <BR>\n" );
document.write( "(a) Find the value of n. (Give your answer correct to the nearest whole number.)   <BR>\n" );
document.write( "np = 212, <BR>\n" );
document.write( "sqrt(npq) = 8<BR>\n" );
document.write( "sqrt(212q) = 8<BR>\n" );
document.write( "212q = 64<BR>\n" );
document.write( "q = 64/212 = 16/53  and p = 1- 16/53 = 37/53  and n = 212/p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=212%2F%2837%2F53%29+=+%2853%2F37%29212%29 ALIGN=MIDDLE  ALT=\"212%2F%2837%2F53%29+=+%2853%2F37%29212%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 304 rounded.<BR>\n" );
document.write( "(b) Find the value of p. (Give your answer correct to four decimal places.) <BR>\n" );
document.write( "p = 37/53 = .6981 rounded </SPAN>\n" );
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