document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933040>Question 933040</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with mean of 7.0 minutes and a standard deviation of 1 minutes. Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 6.5 minutes. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566556 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=566556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Step 1) Convert the raw score x = 6.5 to a z-score (mu = 7, sigma = 1)\r<BR>\n" );
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document.write( "z = (x-mu)/sigma\r<BR>\n" );
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document.write( "z = (6.5-7)/1\r<BR>\n" );
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document.write( "z = -0.5\r<BR>\n" );
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document.write( "Step 2) Use a calculator or a <a  rel=nofollow HREF=\"http://www.stat.ufl.edu/~athienit/Tables/Ztable.pdf\">table</a> to find the area under the curve to the left of z = -0.5. I'm using the table.\r<BR>\n" );
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document.write( "Using the table, I get P(Z < -0.5) = 0.3085\r<BR>\n" );
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document.write( "So, P(X < 6.5) = 0.3085\r<BR>\n" );
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document.write( "So the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 6.5 minutes is approximately 0.3085\r<BR>\n" );
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document.write( "Final Answer: <font size=5 color=\"red\">0.3085</font> (this is equivalent to roughly 30.85%)\r<BR>\n" );
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document.write( "Jim\r<BR>\n" );
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