document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=848623>Question 848623</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You have one jar, there are 30 blue marbles, 18 red marbles, 26 green marbles and 31 yellow marbles in it. If 8 marbles are to be picked from the jar, how many of these marbles would you expect to be red? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511216 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=511216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Make two outcomes:  Red, Not Red.\r<BR>\n" );
document.write( "\n" );
document.write( "We have 105 marbles and 18 of them are red.\r<BR>\n" );
document.write( "\n" );
document.write( "So we define a binomial distribution where \r<BR>\n" );
document.write( "\n" );
document.write( "p[red] = 18/(30+18+26+31) = 6/35\r<BR>\n" );
document.write( "\n" );
document.write( "The expected value of a binomial with n trials and p = probability of success is  n*p.\r<BR>\n" );
document.write( "\n" );
document.write( "We take 8* (6/35)=  48/35  = 1.37\r<BR>\n" );
document.write( "\n" );
document.write( "Since we cannot draw 1.37 red marbles. We say we expect 1 marble to be red. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );