document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1203083>Question 1203083</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Five percent of all items sold by mail-order company are returned by customers for a refund. <BR>\n" );
document.write( "Find the probability (and show the tree diagram) that two of the items sold during a given hour by this company<BR>\n" );
document.write( "a. Both will be returned for a refund<BR>\n" );
document.write( "b. Neither will be returned for a refund </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #838341 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52781)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=838341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Five percent of all items sold by mail-order company are returned by customers for a refund. <BR>\n" );
document.write( "Find the probability (and show the tree diagram) that two of the items sold <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cross%28during_a_given_hour%29%29 ALIGN=MIDDLE  ALT=\"highlight%28cross%28during_a_given_hour%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > by this company<BR>\n" );
document.write( "a. Both will be returned for a refund<BR>\n" );
document.write( "b. Neither will be returned for a refund<BR>\n" );
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document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">\r\n" );
document.write( "(a)  P = 0.05*0.05 = 0.0025.    <U>ANSWER</U>\r\n" );
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document.write( "     Returning two items are two independent events with the probability\r\n" );
document.write( "     of 0.05 each.   Therefore, we multiply the probabilities.\r\n" );
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document.write( "(b)  P = (1-0.05)*(1-0.05) = 0.95*0.95 = 0.9025.    <U>ANSWER</U>\r\n" );
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document.write( "     Non-returning two items are two independent events with the probability\r\n" );
document.write( "     of  1-0.05 = 0.95 each.   Therefore, we multiply the probabilities.\r\n" );
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document.write( "</PRE>\r<BR>\n" );
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document.write( "Solved (with explanations).\r<BR>\n" );
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document.write( "The words crossed out in the condition should not appear in the description of this problem.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;In Math problems, &nbsp;extra words in their formulations are just as bad as missed words.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;All required words must be present; &nbsp;redundant words should not appear, &nbsp;at all.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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