document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043349>Question 1043349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a sample of 1200 U.S.&#8203; adults, 188 dine out at a restaurant more than once per week. Two U.S. adults are selected at random from the population of all U.S. adults without replacement. Assuming the sample is representative of all U.S.&#8203; adults, complete parts&#8203; (a) through&#8203; (d).<BR>\n" );
document.write( "&#8203;(a) Find the probability that both adults dine out more than once per week.<BR>\n" );
document.write( "The probability that both adults dine out more than once per week is <BR>\n" );
document.write( "nothing. <BR>\n" );
document.write( "&#8203;(Round to three decimal places as&#8203; needed.)\r<BR>\n" );
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document.write( "&#8203;(b) Find the probability that neither adult dines out more than once per week.<BR>\n" );
document.write( "The probability that neither adult dines out more than once per week is <BR>\n" );
document.write( "nothing. <BR>\n" );
document.write( "&#8203;(Round to three decimal places as&#8203; needed.)\r<BR>\n" );
document.write( "\n" );
document.write( "&#8203;(c) Find the probability that at least one of the two adults dines out more than once per week.<BR>\n" );
document.write( "The probability that at least one of the two adults dines out more than once per week is <BR>\n" );
document.write( "nothing.<BR>\n" );
document.write( "&#8203;(Round to three decimal places as&#8203; needed.)\r<BR>\n" );
document.write( "\n" );
document.write( "(d) Is this considered unusual? If yes explain </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658513 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=658513\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Probability one adult will dine out more than once a week is 188/1200<BR>\n" );
document.write( "Probability  both selected will dine out more than once a week is (188/1200)(187/1199)=0.024<BR>\n" );
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document.write( "Probability neither dines out is (1012/1200)*(1011/1199)=0.711<BR>\n" );
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document.write( "Probability at least one should be the complement of 1-0711=0.289<BR>\n" );
document.write( "This can be checked by  the ways one can occur<BR>\n" );
document.write( "first and not second is (188/1200)(1012/1199)=0.132<BR>\n" );
document.write( "not first but second is (1012/1200)(188/1199), same product just different order=0.132<BR>\n" );
document.write( "both (since at least one) and that is 0.024<BR>\n" );
document.write( "Those three add to 0.288, and rounding error is reason it isn't the complement exactly.<BR>\n" );
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document.write( "As for the last part, unusual vs. usual is not a statistical question.  The answers are what they are.  If someone wishes to state whether it were surprising, it would be incumbent upon them to state what they thought and why.<BR>\n" );
document.write( " </SPAN>\n" );
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