document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=773061>Question 773061</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose the following table represents the probability distribution for the number of days that an employee is absent from work during a week selected at random.\r<BR>\n" );
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document.write( "X = number of days absent\r<BR>\n" );
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document.write( "X              0                1              2<BR>\n" );
document.write( "probability    .80            .15             .05\r<BR>\n" );
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document.write( "a.) what is the probability that an employee could be absent for more than 2 days?\r<BR>\n" );
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document.write( "B.) what is the expected value for the number of  days absent?\r<BR>\n" );
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document.write( "c.)what is the variance for the number of days absent\r<BR>\n" );
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document.write( "d.) what is the standard deviation fro the number of days absent? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #471283 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=471283\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Suppose the following table represents the probability distribution for the number of days that an employee is absent from work during a week selected at random.\r<BR>\n" );
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document.write( "X = number of days absent\r<BR>\n" );
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document.write( "X              0                1              2<BR>\n" );
document.write( "probability    .80            .15             .05\r<BR>\n" );
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document.write( "a.) what is the probability that an employee could be absent for more than 2 days?\r<BR>\n" );
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document.write( "B.) what is the expected value for the number of  days absent?\r<BR>\n" );
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document.write( "c.)what is the variance for the number of days absent\r<BR>\n" );
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document.write( "d.) what is the standard deviation fro the number of days absent?\r<BR>\n" );
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document.write( "Answers:\r<BR>\n" );
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document.write( "a) 0\r<BR>\n" );
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document.write( "b) E(X)= 0(0.8)+1(0.15)+2(0.05) = 0.25\r<BR>\n" );
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document.write( "c) V(X) = E(X^2)-(E(X))^2 \r<BR>\n" );
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document.write( "E(X^2) =(0^2)(0.8)+(1^2)(0.15)+(2^2)(0.05) = 0.15+0.2 = 0.35\r<BR>\n" );
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document.write( "Then V(X) = 0.35- (0.25)^2 = 0.35-0.0625 = 0.2875\r<BR>\n" );
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document.write( "d) sd(X) = sqrt(0.2875) \r<BR>\n" );
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document.write( "I can help you with more questions at: mthman@gmail.com\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
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