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# 95ffx - ADM 2303 STATISTICS FOR MANAGEMENT I Dec 12 1995...

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ADM 2303 Final Examination - 1 - December 12, 1995 ADM 2303 STATISTICS FOR MANAGEMENT I Dec. 12, 1995 1900-2200 NAME: S.N. Section: Time: 3 hours INSTRUCTIONS: ALL ANSWERS (INCLUDING BRIEF EXPLANATIONS) GO ON THE LEGAL-SIZED ANSWER SHEET. THIS EXAM QUESTION BOOKLET WILL NOT BE MARKED. However, space is provided here for your rough work. These booklets must be deposited in the box provided. NOTE THAT THERE ARE MARKS FOR EXPLAINING YOUR ANSWERS, SO MAKE SURE YOU INCLUDE BRIEF EXPLANATIONS ON THE ANSWER SHEET. Calculators and 1 sheet of notes permitted. Mark distribution on the paper Question Marks totals 1. 20 2 14 3 12 4 17 5 13 6 11 7 13 ============== 100

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ADM 2303 Final Examination - 2 - December 12, 1995 Q 1. [Total marks = 20 ] In a large country, 55% of the hospitals have 100 or more beds, where as only 0.4% of the hospitals have 2500 or more beds. If a random sample of 6 hospitals was chosen, find the probability that: a. i. [ 3 ] Exactly three hospitals will have 100 or more beds. ii. [ 2 ] At least 2 hospitals will have 100 or more beds. iii. [ 1 ] No more than 3 hospitals will have 100 or more beds. b. [ 3 ] What will be the expected value, and standard deviation of the number of hospitals with 100 or more beds? If a random sample of 1000 hospitals is chosen, what is the probability that: c. [ 3 ] At least 3 hospitals will have 2500 or more beds. d. [ 4 ] Between 520 and 575 hospitals will have 100 or more beds. e. [ 4 ] In a single small city there are 7 hospitals, of which 4 have more than 100 beds. Each hospital is to be assigned a surgical resident (i.e., trainee surgeon) this year, and seven residents have been selected, but their assignment to the hospitals will be by drawing their names from a hat. Work out the probability that three of the surgical residents who are close friends will all get to work in hospitals with more than 100 beds. Be sure to explain your work briefly. Working space
ADM 2303 Final Examination - 3 - December 12, 1995 Working space

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ADM 2303 Final Examination - 4 - December 12, 1995 Q 2. [Total marks = 14 ] You are the transport manager for a small trucking firm. Each month you buy approximately 2000 litres of gasoline and 1200 litres of diesel fuel. In the recent price wars for motor fuel, the mean price of gasoline you pay has been 48 cents and the mean price of diesel has been 45 cents. However, the standard deviations have been 3 cents and 1 cent respectively. a) [ 4 ] What is your mean cost of fuel for a month? b) [ 5 ] If the price of diesel and gasoline are statistically independent, what is the standard deviation of your fuel cost for a month? c) [ 5 ] If the correlation between diesel price and gasoline price is 0.6, what is the standard deviation of your fuel cost for a month? Working space:
ADM 2303 Final Examination - 5 - December 12, 1995 Q 3. [Total marks = 12 ] Access requests to an Internet server computer arrive at a fixed RATE of 15 per hour (1 per 4 minutes, 1/4 per minute, etc.).

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