document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=357981>Question 357981</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The probability that a student is late for statistics class is .2. There are 30 classes during the semster. \r<BR>\n" );
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document.write( "       A. Find the probability that the student will be late exactly 5 times. <BR>\n" );
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document.write( "       B. Find the probability that he will be late fewer than 3 times.\r<BR>\n" );
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document.write( "       C. Find the average number of times he will be late. \r<BR>\n" );
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document.write( "       D. Find the standard deviation of the number of times he will be late. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #255539 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=255539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n=30<BR>\n" );
document.write( "p=0.8<BR>\n" );
document.write( "q=0.2<BR>\n" );
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document.write( "A) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2825%29=142506+%2A%280.8%29%5E%2825%29%2A%280.2%29%5E%285%29=0.172279 ALIGN=MIDDLE  ALT=\"P%2825%29=142506+%2A%280.8%29%5E%2825%29%2A%280.2%29%5E%285%29=0.172279\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "B) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2828%29=435+%2A%280.8%29%5E%2828%29%2A%280.2%29%5E%282%29=0.033656 ALIGN=MIDDLE  ALT=\"P%2828%29=435+%2A%280.8%29%5E%2828%29%2A%280.2%29%5E%282%29=0.033656\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2829%29=30%2A%280.8%29%5E%2829%29%2A%280.2%29%5E%281%29=0.009285 ALIGN=MIDDLE  ALT=\"P%2829%29=30%2A%280.8%29%5E%2829%29%2A%280.2%29%5E%281%29=0.009285\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%2830%29=1%2A%280.8%29%5E%2830%29%2A%280.2%29%5E%280%29=0.001238 ALIGN=MIDDLE  ALT=\"P%2830%29=1%2A%280.8%29%5E%2830%29%2A%280.2%29%5E%280%29=0.001238\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=P%2828%29%2BP%2829%29%2BP%2830%29=0.044179 ALIGN=MIDDLE  ALT=\"P=P%2828%29%2BP%2829%29%2BP%2830%29=0.044179\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "C) Using EXCEL's BINOMDIST to generate all of the probability values from 0 to 30, then summing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2AP%28x%29 ALIGN=MIDDLE  ALT=\"x%2AP%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=sum%28x%2AP%28x%29%2Cx=0%2C30%29%29=24 ALIGN=MIDDLE  ALT=\"mu=sum%28x%2AP%28x%29%2Cx=0%2C30%29%29=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu=n%2Ap=30%280.8%29=24 ALIGN=MIDDLE  ALT=\"mu=n%2Ap=30%280.8%29=24\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "D) Again using EXCEL's BINOMDIST, the result from C), and then summing.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=VAR=sum%28%28x-mu%29%5E2%2AP%28x%29%29 ALIGN=MIDDLE  ALT=\"VAR=sum%28%28x-mu%29%5E2%2AP%28x%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%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=2.19 ALIGN=MIDDLE  ALT=\"sigma=2.19\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sigma=sqrt%28n%2Ap%2Aq%29=sqrt%284.8%29=2.19 ALIGN=MIDDLE  ALT=\"sigma=sqrt%28n%2Ap%2Aq%29=sqrt%284.8%29=2.19\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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