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ADM 2303 Final Examination
 1 
December 12, 1995
ADM 2303
STATISTICS FOR MANAGEMENT I
Dec. 12, 1995
19002200
NAME:
S.N.
Section:
Time: 3 hours
INSTRUCTIONS: ALL ANSWERS (INCLUDING BRIEF EXPLANATIONS) GO ON THE
LEGALSIZED 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
21
4
31
2
41
7
5
13
61
1
71
3
==============
100
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View Full Document 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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View Full Document 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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This note was uploaded on 04/22/2010 for the course MANAGEMENT ADM 2303 taught by Professor Phansalker during the Spring '00 term at University of Ottawa.
 Spring '00
 Phansalker
 Management

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