document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171892>Question 1171892</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose that the annual household income in a small Midwestern community is normally distributed with a mean of $55,000 and a standard deviation of $4,500.<BR>\n" );
document.write( "a.	What is the probability that a randomly selected household will have an income between $50,000 and $65,000? 						(2 Marks)<BR>\n" );
document.write( "b.	What is the probability that a randomly selected household will have an income of more than $70,000? 								(2 Marks)<BR>\n" );
document.write( "c.	What minimum income does a household need to earn to be in the top 5% of incomes?<BR>\n" );
document.write( "(2 Marks)<BR>\n" );
document.write( "d.	What maximum income does a household need to earn to be in the bottom 40% of incomes? 									(2 Marks)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #797400 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797400\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the mean is 55000.<BR>\n" );
document.write( "the standard deviation is 4500.<BR>\n" );
document.write( "the following calculator should help you answer these questions.<BR>\n" );
document.write( "<a  rel=nofollow HREF= \"http://davidmlane.com/hyperstat/z_table.html\" target = \"_blank\">http://davidmlane.com/hyperstat/z_table.html</a><BR>\n" );
document.write( "the answers to your questions are shown below:\r<BR>\n" );
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document.write( "a. What is the probability that a randomly selected household will have an income between $50,000 and $65,000? (2 Marks)\r<BR>\n" );
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document.write( "probability is .8536\r<BR>\n" );
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document.write( "b. What is the probability that a randomly selected household will have an income of more than $70,000? (2 Marks)\r<BR>\n" );
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document.write( "probability is .0004\r<BR>\n" );
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document.write( "c. What minimum income does a household need to earn to be in the top 5% of incomes?(2 Marks)\r<BR>\n" );
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document.write( "minimum income is 62401.842\r<BR>\n" );
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document.write( "d. What maximum income does a household need to earn to be in the bottom 40% of incomes? (2 Marks)\r<BR>\n" );
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document.write( "maximum income is 53859.938\r<BR>\n" );
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document.write( "i verified with the ti-84 plus that these answers are correct.\r<BR>\n" );
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document.write( "if you need to know how to do these manually through the use of the normal distribution tables, all you have to do is ask.\r<BR>\n" );
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document.write( "i can do them that way as well.<BR>\n" );
document.write( "it just takes a little longer.<BR>\n" );
document.write( "maybe even a little longer than that.\r<BR>\n" );
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