document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038690>Question 1038690</A>: <I><SPAN STYLE=\"word-break: break-all;\"> an unfair coin lands heads 65% of the time. This coin is flipped 1500 times. What is the probability that the coin will land heads between 960 and 1000 times </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653415 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=653415\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the expected value is 1500*0.65=975 times=np<BR>\n" );
document.write( "the variance is np(1-p)=975*0.35=341.25<BR>\n" );
document.write( "the sd is the sqrt (341.25)=18.47<BR>\n" );
document.write( "So, this can be approximated by a normal distribution<BR>\n" );
document.write( "z=(960-975)/18.47=-0.812<BR>\n" );
document.write( "z=(1000-975)/18.47=1.353<BR>\n" );
document.write( "The probability is that part between these two z-values<BR>\n" );
document.write( "it is 70.36% or 0.7036 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );