document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=369917>Question 369917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose a candy manufacturer claims that 20% of a particular candy it makes is orange.  You purchase a package and find that the package has thirteen pieces in it.  a. Find the mean and standard deviation for the number of orange candies in each package of thirteen.<BR>\n" );
document.write( "b. Using the probability outcome, comment on whether it would be unusual to find no orange candies in your package of thirteen.<BR>\n" );
document.write( "c.Using the values of the mean and standard deviation, comment on whether it would be unusual to find no orange candies in your package of thirteen. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #263743 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=263743\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28Orange%29=0.2 ALIGN=MIDDLE  ALT=\"P%28Orange%29=0.2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Let's look at the probabilities for 13 pieces.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%280%29=+++1%2A%280.2%29%5E0%2A%280.8%29%5E13=0.054976 ALIGN=MIDDLE  ALT=\"P%280%29=+++1%2A%280.2%29%5E0%2A%280.8%29%5E13=0.054976\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%281%29=++13%2A%280.2%29%5E1%2A%280.8%29%5E13=0.178671 ALIGN=MIDDLE  ALT=\"P%281%29=++13%2A%280.2%29%5E1%2A%280.8%29%5E13=0.178671\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%282%29=++78%2A%280.2%29%5E2%2A%280.8%29%5E13=0.268006 ALIGN=MIDDLE  ALT=\"P%282%29=++78%2A%280.2%29%5E2%2A%280.8%29%5E13=0.268006\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%283%29=+286%2A%280.2%29%5E3%2A%280.8%29%5E13=0.245672 ALIGN=MIDDLE  ALT=\"P%283%29=+286%2A%280.2%29%5E3%2A%280.8%29%5E13=0.245672\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%284%29=+715%2A%280.2%29%5E4%2A%280.8%29%5E13=0.153545 ALIGN=MIDDLE  ALT=\"P%284%29=+715%2A%280.2%29%5E4%2A%280.8%29%5E13=0.153545\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%285%29=1287%2A%280.2%29%5E5%2A%280.8%29%5E13=0.069095 ALIGN=MIDDLE  ALT=\"P%285%29=1287%2A%280.2%29%5E5%2A%280.8%29%5E13=0.069095\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%286%29=1716%2A%280.2%29%5E6%2A%280.8%29%5E13=0.023032 ALIGN=MIDDLE  ALT=\"P%286%29=1716%2A%280.2%29%5E6%2A%280.8%29%5E13=0.023032\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%287%29=1716%2A%280.2%29%5E7%2A%280.8%29%5E13=0.005758 ALIGN=MIDDLE  ALT=\"P%287%29=1716%2A%280.2%29%5E7%2A%280.8%29%5E13=0.005758\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%288%29=1287%2A%280.2%29%5E8%2A%280.8%29%5E13=0.00108 ALIGN=MIDDLE  ALT=\"P%288%29=1287%2A%280.2%29%5E8%2A%280.8%29%5E13=0.00108\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%289%29=+715%2A%280.2%29%5E9%2A%280.8%29%5E13=0.00015 ALIGN=MIDDLE  ALT=\"P%289%29=+715%2A%280.2%29%5E9%2A%280.8%29%5E13=0.00015\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2810%29=286%2A%280.2%29%5E10%2A%280.8%29%5E13=0.000015 ALIGN=MIDDLE  ALT=\"P%2810%29=286%2A%280.2%29%5E10%2A%280.8%29%5E13=0.000015\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2811%29=+78%2A%280.2%29%5E11%2A%280.8%29%5E13=0.000001022 ALIGN=MIDDLE  ALT=\"P%2811%29=+78%2A%280.2%29%5E11%2A%280.8%29%5E13=0.000001022\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2812%29=+13%2A%280.2%29%5E12%2A%280.8%29%5E13=0.000000043 ALIGN=MIDDLE  ALT=\"P%2812%29=+13%2A%280.2%29%5E12%2A%280.8%29%5E13=0.000000043\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2813%29=++1%2A%280.2%29%5E13%2A%280.8%29%5E13=0.000000001 ALIGN=MIDDLE  ALT=\"P%2813%29=++1%2A%280.2%29%5E13%2A%280.8%29%5E13=0.000000001\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=2.6 ALIGN=MIDDLE  ALT=\"mu=2.6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=VAR=sum%28%28x-mu%29%5E2%2AP%28x%29%2Ci=0%2C13%29 ALIGN=MIDDLE  ALT=\"VAR=sum%28%28x-mu%29%5E2%2AP%28x%29%2Ci=0%2C13%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=VAR=2.08 ALIGN=MIDDLE  ALT=\"VAR=2.08\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=sqrt%28VAR%29 ALIGN=MIDDLE  ALT=\"sigma=sqrt%28VAR%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=1.44 ALIGN=MIDDLE  ALT=\"sigma=1.44\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "b) You'd expect to find between 2 and 3 orange candies in the package although zero is within 2 standard deviations of the mean, so it's not a very rare occasion.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );