document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=613189>Question 613189</A>: <I><SPAN STYLE=\"word-break: break-all;\">  A sample of 2000 licensed drivers revealed the following number of speeding violations:<BR>\n" );
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document.write( "Number of violations<BR>\n" );
document.write( " Number of drivers<BR>\n" );
document.write( " <BR>\n" );
document.write( "0<BR>\n" );
document.write( " 1,910<BR>\n" );
document.write( " <BR>\n" );
document.write( "1<BR>\n" );
document.write( " 46<BR>\n" );
document.write( " <BR>\n" );
document.write( "2<BR>\n" );
document.write( " 18<BR>\n" );
document.write( " <BR>\n" );
document.write( "3<BR>\n" );
document.write( " 12<BR>\n" );
document.write( " <BR>\n" );
document.write( "4<BR>\n" );
document.write( " 9<BR>\n" );
document.write( " <BR>\n" );
document.write( "5 or more<BR>\n" );
document.write( " 5<BR>\n" );
document.write( " <BR>\n" );
document.write( "TOTAL<BR>\n" );
document.write( " 2000<BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( "What is the probability that a particular driver had exactly two speeding violations?<BR>\n" );
document.write( "a.    12%<BR>\n" );
document.write( "b.    18%<BR>\n" );
document.write( "c.    .009<BR>\n" );
document.write( "d.    None of the above<BR>\n" );
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document.write( " <BR>\n" );
document.write( "7.    Referring to the problem above (#6), what concept of probability does this illustrate?<BR>\n" );
document.write( "a.    Classical<BR>\n" );
document.write( "b.    Subjective<BR>\n" );
document.write( "c.    Empirical<BR>\n" );
document.write( "d.    None of the above<BR>\n" );
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document.write( "8.    A large company that must hire a new CEO prepares a final list of five candidates, all of whom are qualified.  Two of these candidates are members of a minority group.  To avoid bias in the selection of the candidate, the company decides to select the CEO by lottery.  What is the probability that one of the minority candidates is hired?<BR>\n" );
document.write( "a.    .20<BR>\n" );
document.write( "b.    .05<BR>\n" );
document.write( "c.    .40<BR>\n" );
document.write( "d.    None of the above<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "9.    Referring to the problem above (#8), which concept of probability did you use to make this estimate?<BR>\n" );
document.write( "a.    Classical<BR>\n" );
document.write( "b.    Subjective<BR>\n" );
document.write( "c.    Empirical<BR>\n" );
document.write( "d.    None of the above<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "10. The mean starting salary for graduates in the spring of 2004 was $36,280.  Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of $3,300.  What percent of the graduates have starting salaries between $35,000 and $40,000?<BR>\n" );
document.write( "a.    .5225<BR>\n" );
document.write( "b.    .0041<BR>\n" );
document.write( "c.    .1251<BR>\n" );
document.write( "d.    None of the above   <BR>\n" );
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document.write( " \r<BR>\n" );
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document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " A sample of 2000 licensed drivers revealed the following number of speeding violations:<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "Number of violations<BR>\n" );
document.write( " Number of drivers<BR>\n" );
document.write( " <BR>\n" );
document.write( "0<BR>\n" );
document.write( " 1,910<BR>\n" );
document.write( " <BR>\n" );
document.write( "1<BR>\n" );
document.write( " 46<BR>\n" );
document.write( " <BR>\n" );
document.write( "2<BR>\n" );
document.write( " 18<BR>\n" );
document.write( " <BR>\n" );
document.write( "3<BR>\n" );
document.write( " 12<BR>\n" );
document.write( " <BR>\n" );
document.write( "4<BR>\n" );
document.write( " 9<BR>\n" );
document.write( " <BR>\n" );
document.write( "5 or more<BR>\n" );
document.write( " 5<BR>\n" );
document.write( " <BR>\n" );
document.write( "TOTAL<BR>\n" );
document.write( " 2000<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "What is the probability that a particular driver had exactly two speeding violations?<BR>\n" );
document.write( "a.    12%<BR>\n" );
document.write( "b.    18%<BR>\n" );
document.write( "c.    .009<BR>\n" );
document.write( "d.    None of the above<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "7.    Referring to the problem above (#6), what concept of probability does this illustrate?<BR>\n" );
document.write( "a.    Classical<BR>\n" );
document.write( "b.    Subjective<BR>\n" );
document.write( "c.    Empirical<BR>\n" );
document.write( "d.    None of the above<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "8.    A large company that must hire a new CEO prepares a final list of five candidates, all of whom are qualified.  Two of these candidates are members of a minority group.  To avoid bias in the selection of the candidate, the company decides to select the CEO by lottery.  What is the probability that one of the minority candidates is hired?<BR>\n" );
document.write( "a.    .20<BR>\n" );
document.write( "b.    .05<BR>\n" );
document.write( "c.    .40<BR>\n" );
document.write( "d.    None of the above<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "9.    Referring to the problem above (#8), which concept of probability did you use to make this estimate?<BR>\n" );
document.write( "a.    Classical<BR>\n" );
document.write( "b.    Subjective<BR>\n" );
document.write( "c.    Empirical<BR>\n" );
document.write( "d.    None of the above<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "10. The mean starting salary for graduates in the spring of 2004 was $36,280.  Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of $3,300.  What percent of the graduates have starting salaries between $35,000 and $40,000?<BR>\n" );
document.write( "a.    .5225<BR>\n" );
document.write( "b.    .0041<BR>\n" );
document.write( "c.    .1251<BR>\n" );
document.write( "d.    None of the above   <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " A sample of 2000 licensed drivers revealed the following number of speeding violations:<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "Number of violations<BR>\n" );
document.write( " Number of drivers<BR>\n" );
document.write( " <BR>\n" );
document.write( "0<BR>\n" );
document.write( " 1,910<BR>\n" );
document.write( " <BR>\n" );
document.write( "1<BR>\n" );
document.write( " 46<BR>\n" );
document.write( " <BR>\n" );
document.write( "2<BR>\n" );
document.write( " 18<BR>\n" );
document.write( " <BR>\n" );
document.write( "3<BR>\n" );
document.write( " 12<BR>\n" );
document.write( " <BR>\n" );
document.write( "4<BR>\n" );
document.write( " 9<BR>\n" );
document.write( " <BR>\n" );
document.write( "5 or more<BR>\n" );
document.write( " 5<BR>\n" );
document.write( " <BR>\n" );
document.write( "TOTAL<BR>\n" );
document.write( " 2000<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "What is the probability that a particular driver had exactly two speeding violations?<BR>\n" );
document.write( "a.    12%<BR>\n" );
document.write( "b.    18%<BR>\n" );
document.write( "c.    .009<BR>\n" );
document.write( "d.    None of the above<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "7.    Referring to the problem above (#6), what concept of probability does this illustrate?<BR>\n" );
document.write( "a.    Classical<BR>\n" );
document.write( "b.    Subjective<BR>\n" );
document.write( "c.    Empirical<BR>\n" );
document.write( "d.    None of the above<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "8.    A large company that must hire a new CEO prepares a final list of five candidates, all of whom are qualified.  Two of these candidates are members of a minority group.  To avoid bias in the selection of the candidate, the company decides to select the CEO by lottery.  What is the probability that one of the minority candidates is hired?<BR>\n" );
document.write( "a.    .20<BR>\n" );
document.write( "b.    .05<BR>\n" );
document.write( "c.    .40<BR>\n" );
document.write( "d.    None of the above<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "9.    Referring to the problem above (#8), which concept of probability did you use to make this estimate?<BR>\n" );
document.write( "a.    Classical<BR>\n" );
document.write( "b.    Subjective<BR>\n" );
document.write( "c.    Empirical<BR>\n" );
document.write( "d.    None of the above<BR>\n" );
document.write( " <BR>\n" );
document.write( " <BR>\n" );
document.write( "10. The mean starting salary for graduates in the spring of 2004 was $36,280.  Assume that the distribution of starting salaries follows the normal distribution with a standard deviation of $3,300.  What percent of the graduates have starting salaries between $35,000 and $40,000?<BR>\n" );
document.write( "a.    .5225<BR>\n" );
document.write( "b.    .0041<BR>\n" );
document.write( "c.    .1251<BR>\n" );
document.write( "d.    None of the above   <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 #507465 by </B><A HREF=/tutors/aboutme.mpl?userid=MDes><B>MDes(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MDes><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=507465\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <TABLE  BORDER=1>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=explain_simplification.solver>EXPLAIN simplification of an expression</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT><B>Your Result</B>: <BR><BR>\n" );
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document.write( "  YOUR ANSWER\n" );
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document.write( "<TABLE BORDER=2 WIDTH=100%><TR><TD> <UL  DISABLED_style= \"line-height: 30px; \">\n" );
document.write( "<LI><B>This is an <A  rel=nofollow HREF=/algebra/homework/equations/>equation</A>!</B> Solutions: <FONT SIZE=+2><U><B>x=2</B></U></FONT>.<BR></LI>\n" );
document.write( "<LI><B>Graphical form</B>: <A  rel=nofollow HREF=/algebra/homework/equations/>Equation</A> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Bx-x%2B2x=6 ALIGN=MIDDLE  ALT=\"x%2Bx-x%2B2x=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > was fully solved.</LI><LI><B>Text form</B>: x+x-x+2x=6 simplifies to 0=0</LI><LI><B>Cartoon (animation) form</B>: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=simplify_cartoon%28+x%2Bx-x%2B2x=6+%29 ALIGN=MIDDLE  ALT=\"simplify_cartoon%28+x%2Bx-x%2B2x=6+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR> For tutors: <CODE>simplify_cartoon( x+x-x+2x=6 )</CODE></LI>\n" );
document.write( "<LI>If you have a website, here's a <A rel=nofollow  rel=nofollow HREF=/services/rendering/simplifier.mpl?expression=x%2Bx-x%2B2x=6>link</A> to this solution. </LI>\n" );
document.write( "</UL>\n" );
document.write( "</TD></TR>\n" );
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document.write( "<H3  DISABLED_style= \"background-color: #88ccDD; font-weight: bold; margin-top: 0px; margin-bottom: 3px; text-align: center; padding: 2px;\">DETAILED EXPLANATION</H3>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+x+%29%2Bhighlight_red%28+x+%29-highlight_red%28+x+%29%2Bhighlight_red%28+2%2Ax+%29=6 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Eliminated <A  rel=nofollow HREF=/algebra/homework/expressions/>similar terms</A> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+x+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+x+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+x+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+x+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+-x+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+-x+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+2%2Ax+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+2%2Ax+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  replacing them with  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29 ALIGN=MIDDLE  ALT=\"highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29=6& border=1  ALIGN=MIDDLE  ALT=\"highlight_green%28+%281%2B1-1%2B2%29%2Ax+%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight_red%28+1+%29%2Bhighlight_red%28+1+%29-highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%29%2Ax=6 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Added fractions or integers together <BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28highlight_green%28+3+%29%29%2Ax=6& border=1  ALIGN=MIDDLE  ALT=\"%28highlight_green%28+3+%29%29%2Ax=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29=6 ALIGN=MIDDLE  ALT=\"highlight_red%28+%28highlight_red%28+3+%29%29%2Ax+%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Remove unneeded parentheses around factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+3+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+3+%29%2Ax=6& border=1  ALIGN=MIDDLE  ALT=\"highlight_green%28+3+%29%2Ax=6\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Ax=highlight_red%28+6+%29 ALIGN=MIDDLE  ALT=\"3%2Ax=highlight_red%28+6+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Moved these terms to the left <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+-6+%29 ALIGN=MIDDLE  ALT=\"highlight_green%28+-6+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2Ax-highlight_green%28+6+%29=0& border=1  ALIGN=MIDDLE  ALT=\"3%2Ax-highlight_green%28+6+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+3%2Ax-6+%29=0 ALIGN=MIDDLE  ALT=\"highlight_red%28+3%2Ax-6+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Solved <A  rel=nofollow HREF=/algebra/homework/Linear-equations/>linear equation</A> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+3%2Ax-6=0+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+3%2Ax-6=0+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > equivalent to  3*x-6  =0 <BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+0+%29=0& border=1  ALIGN=MIDDLE  ALT=\"highlight_green%28+0+%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR><B>Result</B>: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=0& border=2 ALIGN=MIDDLE  ALT=\"0=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<B>This is an <A  rel=nofollow HREF=/algebra/homework/equations/>equation</A>!</B> Solutions: <FONT SIZE=+2><U><B>x=2</B></U></FONT>.<BR><BR><H3  DISABLED_style= \"background-color: #88ccDD; font-weight: bold; margin-top: 0px; margin-bottom: 3px; text-align: center; padding: 2px;\">Universal Simplifier and Solver</H3>\n" );
document.write( "<BR>Done!<BR></TD></TR></TABLE>\n" );
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document.write( "</TD></TR></TABLE>\n" );