document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087753>Question 1087753</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Twenty-three percent of Ole Miss students are from out of state.  In a random sample of 6 students, what is the probability that at least 2 of them are from out of state?(round to whole number) <BR>\n" );
document.write( "a. 42%        b. 7%           c. 28%           d. 64%         e. none of these\r<BR>\n" );
document.write( "\n" );
document.write( "2. For the problem above what is the expected value of x.<BR>\n" );
document.write( "a. 4.2        b. 2.7           c. 1.4           d. .5         e. none of these<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702063 by </B><A HREF=/tutors/aboutme.mpl?userid=mathmate><B>mathmate(429)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mathmate><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=mathmate><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702063\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Question:<BR>\n" );
document.write( "1. Twenty-three percent of Ole Miss students are from out of state.  In a random sample of 6 students, what is the probability that at least 2 of them are from out of state?(round to whole number) <BR>\n" );
document.write( "a. 42%        b. 7%           c. 28%           d. 64%         e. none of these<BR>\n" );
document.write( "2. For the problem above what is the expected value of x.<BR>\n" );
document.write( "a. 4.2        b. 2.7           c. 1.4           d. .5         e. none of these<BR>\n" );
document.write( " <BR>\n" );
document.write( "Solution:<BR>\n" );
document.write( "Since the probability is known and constant (large population), the binomial distribution can be used to model the situation.<BR>\n" );
document.write( "p=0.23<BR>\n" );
document.write( "n=6<BR>\n" );
document.write( "(1) At least two student from out-of-state.<BR>\n" );
document.write( "P(x)=C(n,x)p^(x)*(1-p)^(n-x)<BR>\n" );
document.write( "=1-C(6,0)(0.23)^0*(0.77)^6-C(6,1)(0.23)^1*(0.77)^5<BR>\n" );
document.write( "=1-0.2084-0.3735<BR>\n" );
document.write( "=0.4180\r<BR>\n" );
document.write( "\n" );
document.write( "(2) Expected value of x <BR>\n" );
document.write( "Expected value of x (in a binomial distribution)<BR>\n" );
document.write( "=np<BR>\n" );
document.write( "=6*0.23<BR>\n" );
document.write( "=1.38 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );