document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=326435>Question 326435</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PROBLEM 1<BR>\n" );
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document.write( "The 2003 Zagat Restaurant Survey provides food, décor, and service ratings for some of the top restaurants<BR>\n" );
document.write( " across the United States. For 15 top-ranked restaurants located in Boston, the average price of a dinner<BR>\n" );
document.write( "including, one drink and tip, was $48.60. You are leaving for a business trip to Boston and will eat dinner at  <BR>\n" );
document.write( "three of these restaurants. Your company will reimburse you for a maximum of $50 per dinner. Business  <BR>\n" );
document.write( "associates familiar with these restaurants have told you that the meal cost at one-third of these restaurants<BR>\n" );
document.write( " will exceed $50. Suppose that you randomly select three restaurants for dinner.\r<BR>\n" );
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document.write( "a. What is the probability that none of the meals will exceed the cost covered by your company?\r<BR>\n" );
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document.write( " b. What is the probability that one of the meals will exceed the cost covered by your company?\r<BR>\n" );
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document.write( " c. What is the probability that two of the meals will exceed the cost covered by your company?\r<BR>\n" );
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document.write( "d. What is the probability that all three of the meals will exceed the cost covered by your company?\r<BR>\n" );
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document.write( " PROBLEM 2<BR>\n" );
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document.write( "Military radar and missile detection system are designed to warn a country of an enemy attack. A<BR>\n" );
document.write( "reliability question is whether a detection system will be able to identify an attack and issue a warning.<BR>\n" );
document.write( "Assume that a particular detection system has a .90 probability of detecting a missile attack.  \r<BR>\n" );
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document.write( "a. What is the probability that single detection system will detect the attack?<BR>\n" );
document.write( "b. If two detection systems are installed in the same area and operating independently, what is the  <BR>\n" );
document.write( "probability that at least one of the systems will detect the attack?<BR>\n" );
document.write( "c. If three systems are installed, what is the probability that at least one of the systems will detect<BR>\n" );
document.write( "the attack?<BR>\n" );
document.write( "d. Would you recommend the multiple detection systems be used? Explain.<BR>\n" );
document.write( "I would recommed 3 detection systems be installed. Like a wise man says there is saftey in numbers<BR>\n" );
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document.write( " PROBLEM 3<BR>\n" );
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document.write( "Phone calls arrive at the rate of 48 per hour at the reservation desk for Regional Airways.\r<BR>\n" );
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document.write( "a. Compute the probability of receiving three calls in a 5-minute interval of time.<BR>\n" );
document.write( "b. Compute the probability of receiving exactly 10 calls in 15 minutes.<BR>\n" );
document.write( "c. Suppose, no calls are currently on hold. If the agent takes 5 minutes to complete the current  <BR>\n" );
document.write( "call, how many callers do you expect to be waiting by that time? What is the probability that<BR>\n" );
document.write( "none will be waiting?<BR>\n" );
document.write( "d. If no calls are currently being processed, what is the probability that the agent can take 3 minutes<BR>\n" );
document.write( "for personal time without being interrupted by a call?\r<BR>\n" );
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document.write( " PROBLEM 4\r<BR>\n" );
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document.write( "Trading volume on the New York Stock Exchange is heaviest during the first half hour (early morning)<BR>\n" );
document.write( "and last half hour (late afternoon) of the trading day. The early morning trading volumes (millions of  <BR>\n" );
document.write( "shares) for 13 days in January and February are shown here (Barron's, January 23, 2006;<BR>\n" );
document.write( "February 13, 2006; and February 27, 2006)\r<BR>\n" );
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document.write( "Trading Volume (millions of shares)<BR>\n" );
document.write( "163<BR>\n" );
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document.write( "171<BR>\n" );
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document.write( "174<BR>\n" );
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document.write( "180<BR>\n" );
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document.write( "194<BR>\n" );
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document.write( "198<BR>\n" );
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document.write( "201<BR>\n" );
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document.write( "202<BR>\n" );
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document.write( "211<BR>\n" );
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document.write( "211<BR>\n" );
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document.write( "212<BR>\n" );
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document.write( "214<BR>\n" );
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document.write( "265<BR>\n" );
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document.write( "The probability distribution of trading volume is approximately normal.<BR>\n" );
document.write( "a. Compute the mean and standard deviation to use as estimates of the population mean and<BR>\n" );
document.write( "standard deviation.\r<BR>\n" );
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document.write( "b. What is the probability that, on a randomly selected day, the early morning trading volume will be<BR>\n" );
document.write( "less than 180 million shares?\r<BR>\n" );
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document.write( "c. What is the probability that, on a randomly selected day, the early morning trading volume will  <BR>\n" );
document.write( "exceed 230 million shares?\r<BR>\n" );
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document.write( "d. How many shares would have to be traded for the early morning trading volume on a particular  <BR>\n" );
document.write( "day to be among the busiest 5% of days?\r<BR>\n" );
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document.write( " PROBLEM 5  <BR>\n" );
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document.write( "The average score for male golfers is 95 and the average score for female golfers is 106 (Golf Digest,<BR>\n" );
document.write( "April 2006). Use these values as the population means for men and women and assume that the  <BR>\n" );
document.write( "population standard deviation &#963; = 14 strokes for both. A simple random sample of 30 male golfers<BR>\n" );
document.write( "and another simple random sample of 45 female golfers will be taken.\r<BR>\n" );
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document.write( "a. Show the sampling distribution of x for male and female golfers.\r<BR>\n" );
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document.write( "b. What is the probability that the sample mean is within 3 strokes of the populations mean for the<BR>\n" );
document.write( "sample of male golfers?\r<BR>\n" );
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document.write( "c. What is the probability that the sample mean is within 3 strokes of the populations mean for the<BR>\n" );
document.write( "sample of female golfers?\r<BR>\n" );
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document.write( "d. In which case, part (b) or part (c), is the probability of obtaining a sample mean within 3 strokes of  <BR>\n" );
document.write( "the population mean higher? Why?<BR>\n" );
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document.write( "PROBLEM 6<BR>\n" );
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document.write( "Playbill magazine reported that the mean annual household income of its readers is $119,155.<BR>\n" );
document.write( "(Playbill, January 2006). Assume this estimate of the mean annual household income is based on<BR>\n" );
document.write( "a sample of 80 households, and based on past studies, the population standard deviation is known<BR>\n" );
document.write( "to be &#963; = $30,000.<BR>\n" );
document.write( "a. Develop a 90% confidence interval estimate of the population mean.\r<BR>\n" );
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document.write( "b. Develop a 95% confidence interval estimate of the population mean.<BR>\n" );
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document.write( "c. Develop a 99% confidence interval estimate of the population mean. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #233709 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=233709\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One problem at a time.<BR>\n" );
document.write( "Break them up and re-post. <BR>\n" );
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