document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1027091>Question 1027091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 2.	The incomplete table at right is a discrete random variable x's probability distribution, where x is the number of courses taken by randomly selected undergraduate student.  Answer the following:		\r<BR>\n" );
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document.write( "Table : > http://prntscr.com/alqvcp		<BR>\n" );
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document.write( "	(a)	Determine the value that is missing in the table.			<BR>\n" );
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document.write( "	(b)	Explain the meaning of P(x >2) as it applies to the context of this problem.			<BR>\n" );
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document.write( "	(c)	Determine the value of P(x &#8804; 3):			<BR>\n" );
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document.write( "	(d)	Find the probability that x is at least 2.			<BR>\n" );
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document.write( "	(e)	Find the mean (expected value) and standard deviation of this probability distribution.			<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 #642394 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=642394\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a)  1 - .15 - .41 - .18 - .15 = .11\r<BR>\n" );
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document.write( "(b)  P(x>2) = 0.44 ==> there is 44% probability that a randomly selected undergraduate student will take 3 or more courses.\r<BR>\n" );
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document.write( "(c)  P(x &#8804; 3) = 0.74\r<BR>\n" );
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document.write( "(d)  1-0.15  = 0.85\r<BR>\n" );
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document.write( "(e)  E(X) = 1*0.14 + 2*0.41 + 3*0.18 + 4*0.11 + 5*0.15 = 2.69\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Var%28X%29+=+E%28X%5E2%29+-+%28E%28X%29%29%5E2+=+1%5E2%2A0.14+%2B+2%5E2%2A0.41+%2B+3%5E2%2A0.18+%2B+4%5E2%2A0.11+%2B+5%5E2%2A0.15++-+2.69%5E2+=+1.6739 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "==> standard deviation = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281.6739%29+=+1.2938 ALIGN=MIDDLE  ALT=\"sqrt%281.6739%29+=+1.2938\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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