document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196767>Question 1196767</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A survey of 52 U.S. supermarkets yielded the following relative frequency table, where X is the number of checkout lanes at a randomly chosen supermarket.<BR>\n" );
document.write( "x	1	2	3	4	5	6	7	8	9	10<BR>\n" );
document.write( "P(X = x)<BR>\n" );
document.write( "0.01	0.02	0.02	0.10	0.10	0.15	0.25	0.20	0.10	0.05<BR>\n" );
document.write( "(a)<BR>\n" );
document.write( "Compute 𝜇 = E(X). HINT [See Example 3.]<BR>\n" );
document.write( "E(X) = <BR>\n" );
document.write( "Interpret the result.<BR>\n" );
document.write( "This was the most frequently observed number of checkout lanes in surveyed supermarkets.<BR>\n" );
document.write( "There were, on average, this many checkout lanes in a supermarket that was surveyed.    <BR>\n" );
document.write( "There were at least this many checkout lanes in each supermarket that was surveyed.<BR>\n" );
document.write( "There were at most this many checkout lanes in each supermarket that was surveyed.\r<BR>\n" );
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document.write( "Find <BR>\n" );
document.write( "P(X < 𝜇) or P(X > 𝜇).<BR>\n" );
document.write( "P(x < 𝜇)<BR>\n" );
document.write( "=	<BR>\n" );
document.write( "P(x > 𝜇)<BR>\n" );
document.write( "=	<BR>\n" );
document.write( "Interpret the result.<BR>\n" );
document.write( "Then <BR>\n" );
document.write( "P(x > 𝜇)<BR>\n" );
document.write( " is <BR>\n" );
document.write( "greater than<BR>\n" );
document.write( " <BR>\n" );
document.write( ".<BR>\n" );
document.write( " <BR>\n" );
document.write( "P(x < 𝜇).<BR>\n" );
document.write( " Thus, most supermarkets have <BR>\n" );
document.write( "more than<BR>\n" );
document.write( " <BR>\n" );
document.write( ".<BR>\n" );
document.write( " the average number of checkout lanes. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #829765 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=829765\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "I'll get you started on the first part of the question.\r<BR>\n" );
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document.write( "𝜇 = E(X) = <font color=red>6.66</font> is the expected value.<BR>\n" );
document.write( "There were, on average, this many checkout lanes in a supermarket that was surveyed.\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "Work Shown:\r<BR>\n" );
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document.write( "<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD >X</TD><TD >P(X)</TD><TD >X*P(X)</TD></tr><tr><TD >1</TD><TD >0.01</TD><TD >0.01</TD></tr><tr><TD >2</TD><TD >0.02</TD><TD >0.04</TD></tr><tr><TD >3</TD><TD >0.02</TD><TD >0.06</TD></tr><tr><TD >4</TD><TD >0.1</TD><TD >0.4</TD></tr><tr><TD >5</TD><TD >0.1</TD><TD >0.5</TD></tr><tr><TD >6</TD><TD >0.15</TD><TD >0.9</TD></tr><tr><TD >7</TD><TD >0.25</TD><TD >1.75</TD></tr><tr><TD >8</TD><TD >0.2</TD><TD >1.6</TD></tr><tr><TD >9</TD><TD >0.1</TD><TD >0.9</TD></tr><tr><TD >10</TD><TD >0.05</TD><TD >0.5</TD></tr><tr><TD ></TD><TD >Sum</TD><TD ><font color=red>6.66</font></TD></tr>\n" );
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document.write( "</font> </SPAN>\n" );
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