document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153531>Question 1153531</A>: <I><SPAN STYLE=\"word-break: break-all;\"> About 3% of children in a country are allergic to peanuts. Choose three children at random and let the random variable X be the number in this sample who are allergic to peanuts. The possible values X can take are 0, 1, 2, and 3. What is the conditional probability that exactly two of the children will be allergic to peanuts, given that at least one of the three children suffers from this allergy? (Round your answer to four decimal places.) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #775765 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=775765\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> probability from 3<BR>\n" );
document.write( "0: .97^3=0.91267<BR>\n" );
document.write( "1: 3(.97^2)(0.03)=0.08468<BR>\n" );
document.write( "2: 3(.97)(.03^2)=0.00262<BR>\n" );
document.write( "3: .03^3=0.00003<BR>\n" );
document.write( "given that at least 1 has it (prob. 0.08733) probability exactly 2 have it is 0.00262/0.08468 or 0.0309 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );