document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62838>Question 62838</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 5 apples in a barrel of 25 apples are rotten, what is the expected number of rotten apples in a random sample of 2 apples? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43658 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=43658\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If 5 apples in a barrel of 25 apples are rotten, what is the expected number of rotten apples in a random sample of 2 apples?<BR>\n" );
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document.write( "The random variable values are 0,1,2<BR>\n" );
document.write( "P(0 rotten)= [20C2]/[25C2]=0.63<BR>\n" );
document.write( "P(1 rotten)= 5C1*20C1/25C2=0.33<BR>\n" );
document.write( "P(2 rotten)= [5C2]/25C2=0.03<BR>\n" );
document.write( "Expected number of rotten =0.63*0+0.33*1+0.03*2=0.39 \r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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