document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=633201>Question 633201</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Answer each of the following questions as concisely as possible. Show all necessary working (including graphs, if necessary) and steps to obtain maximum marks.  \r<BR>\n" );
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document.write( "Scan your answer sheet as a single document and submit electronically.<BR>\n" );
document.write( "Question 1: Introduction to Probability Distributions<BR>\n" );
document.write( "The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives and IS middle managers range from a low of 1 (very dissatisfied) to a high of 5 (very satisfied).\r<BR>\n" );
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document.write( "	What is the expected value of the job satisfaction score for senior executives?<BR>\n" );
document.write( "[7 marks]\r<BR>\n" );
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document.write( "	What is the expected value of the job satisfaction score for middle managers?<BR>\n" );
document.write( "[7 marks]\r<BR>\n" );
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document.write( "	Compute the variance of job satisfaction scores for executives and middle managers.<BR>\n" );
document.write( "[7 marks]\r<BR>\n" );
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document.write( "	Compute the standard deviation of job satisfaction scores for both probability <BR>\n" );
document.write( "		distributions.<BR>\n" );
document.write( "[7 marks]\r<BR>\n" );
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document.write( "	Compare the overall job satisfaction of senior executives and middle managers.<BR>\n" );
document.write( "[7 marks]\r<BR>\n" );
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document.write( "Question 2: Binomial Probability Distribution\r<BR>\n" );
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document.write( "A Harris Interactive survey for InterContinental Hotels & Resorts asked respondents,<BR>\n" );
document.write( "“When  ravellers internationally, do you generally venture out on your own to experience culture, or stick with your tour group and itineraries?” The survey found that 23% of the respondents stick with their tour group (USA Today, January 21, 2004).<BR>\n" );
document.write( "	In a sample of six international  ravellers, what is the probability that two will stick with their tour group?\r<BR>\n" );
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document.write( "	In a sample of six international  ravellers, what is the probability that at least two will stick with their tour group?<BR>\n" );
document.write( "[7 marks]\r<BR>\n" );
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document.write( "	In a sample of 10 international travelers, what is the probability that none will stick with their tour group?<BR>\n" );
document.write( "[7 marks]\r<BR>\n" );
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document.write( "Question 3: The Normal Distribution<BR>\n" );
document.write( "Assume that the test scores from a college admissions test are normally distributed, with a mean of 450 and a standard deviation of 100.<BR>\n" );
document.write( "(a)	What percentage of the people taking the test score between 400 and 500?<BR>\n" );
document.write( "[7 marks]\r<BR>\n" );
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document.write( "(b)	Suppose someone receives a score of 630. What percentage of the people taking the test score better? What percentage score worse?<BR>\n" );
document.write( "[7 marks]\r<BR>\n" );
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document.write( "(c)	If a particular university will not admit anyone scoring below 480, what percentage of the persons taking the test would be acceptable to the university?<BR>\n" );
document.write( "[7 marks]\r<BR>\n" );
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document.write( "Question 4: Sampling Distribution<BR>\n" );
document.write( "BusinessWeek surveyed MBA alumni 10 years after graduation (BusinessWeek, September 22, 2003). One finding was that alumni spend an average of $115.50 per week eating out socially. You have been asked to conduct a follow-up study by taking a sample of 40 of these MBA alumni. Assume the population standard deviation is $35.<BR>\n" );
document.write( "(a)	Show the sampling distribution of x &#773;, the sample mean weekly expenditure for the <BR>\n" );
document.write( "40 MBA alumni.<BR>\n" );
document.write( "[7 marks]\r<BR>\n" );
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document.write( "(b)	What is the probability the sample mean will be within $10 of the population mean?<BR>\n" );
document.write( "[8 marks]\r<BR>\n" );
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document.write( "(c)	Suppose you find a sample mean of $100. What is the probability of finding a sample mean of $100 or less? Would you consider this sample to be an unusually low spending group of alumni? Why or why not?<BR>\n" );
document.write( "[8 marks]\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #398716 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=398716\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "I can see that you just cut and pasted your entire assignment.  This site doesn't work that way.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE *\ \ \">Ask about one problem only.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE *\ \ \">Tell us what it is that is giving you difficulty.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE *\ \ \">Show the work you have done so far.\r<BR>\n" );
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document.write( "What you have done is indicative of a person who has no real desire to learn about mathematics, but that just wants to get their homework done for them for free.  Not happening.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<div  DISABLED_style= \"text-align:center\"><a  rel=nofollow HREF=\"http://outcampaign.org/\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png\" border=\"0\" alt=\"The Out Campaign: Scarlet Letter of Atheism\" width=\"143\" height=\"122\" /></a></div><BR>\n" );
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