document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137176>Question 1137176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that I find defective bulb in a supermarket display is 0.25. Suppose I inspect 16 bulbs, \r<BR>\n" );
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document.write( "a) What is the probability of finding 4  defective bulbs?<BR>\n" );
document.write( "b) What is the probability of finding less than 2 defective bulbs?<BR>\n" );
document.write( "c) How many bulbs do I expect to be defective?<BR>\n" );
document.write( "d) Find the variance of defective bulbs </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #755020 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=755020\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X%29=C%2816%2CX%29%2A%280.25%29%5EX%2A%281-0.25%29%5E%2816-X%29 ALIGN=MIDDLE  ALT=\"P%28X%29=C%2816%2CX%29%2A%280.25%29%5EX%2A%281-0.25%29%5E%2816-X%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%284%29=00.225 ALIGN=MIDDLE  ALT=\"P%284%29=00.225\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "b) Less than 2 would be 0 or 1,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X%3C2%29=P%280%29%2BP%281%29 ALIGN=MIDDLE  ALT=\"P%28X%3C2%29=P%280%29%2BP%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28X%3C2%29=0.010%2B0.053 ALIGN=MIDDLE  ALT=\"P%28X%3C2%29=0.010%2B0.053\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%28x%3C2%29=0.063 ALIGN=MIDDLE  ALT=\"P%28x%3C2%29=0.063\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "c) Highest probability occurs with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=X=4 ALIGN=MIDDLE  ALT=\"X=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "From another direction, for a binomial distribution,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=n%2AP ALIGN=MIDDLE  ALT=\"mu=n%2AP\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=0.25%2A16 ALIGN=MIDDLE  ALT=\"mu=0.25%2A16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=4 ALIGN=MIDDLE  ALT=\"mu=4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "d) For a binomial distribution,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=sqrt%28n%2AP%2A%281-P%29%29 ALIGN=MIDDLE  ALT=\"sigma=sqrt%28n%2AP%2A%281-P%29%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=sqrt%2816%2A%281%2F4%29%283%2F4%29%29 ALIGN=MIDDLE  ALT=\"sigma=sqrt%2816%2A%281%2F4%29%283%2F4%29%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=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sigma=sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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