University of Ottawa
School of Management
ADM 2303: STATISTICS FOR MANAGEMENT I
FINAL EXAMINATION December 22, 2003
NAME
S.N.
Section: A
B
C
D
E
F
Time: 3 hours
Total marks:66
Put your name on THIS sheet too! – YOUR EXAM IS UNIQUE.
ALL ANSWERS (INCLUDING BRIEF EXPLANATIONS) GO ON THE ANSWER SHEET. The exam
question sheets will
not
be marked, though space on the back of sheets is provided here for your rough work.
Deposit question sheets in the box provided to allow for verification if needed. Note that there are marks for
explaining your answers, so make sure you include brief explanations on the
answer
sheet.
There are marks for
identifying probability distributions. Calculators, 1 doublesided sheet of notes, on 8.5" by 11" paper (no stick
ons!) are allowed.
In using tables, you do
not
need to interpolate, but take the nearest table value.
Q1. A forensic auditor is engaged by a Crown Prosecutor to help investigate and prosecute some criminally
inclined folk who run the EmBill Corporation.
1a) [ 6 ] The auditor knows that only 8 people had access to some important and sensitive files which have been
cleverly altered in an attempt to hide embezzlement. The Crown Prosecutor has only enough budget for the
auditor to check the files of 5 of the suspects, chosen at random. If there are actually 3 people among the eight
who are involved in the fraud, what is the chance the auditor views the files of at least 2 of them?
1b) [ 5 ]
EmBill had many thousands of employees, and
10% of them “knew” the books were being illegally
altered. Assuming the employees will tell the truth if offered amnesty from prosecution, what is the probability
more than 30 out of 200 surveyed at random will admit to knowing about the fraud?
Q2. BigHigh Pharma is contracted by Health Canada to produce medical cannabis. “Smokin’” Joe Grass, the
chief scientist for BHP checks their two varieties of marijuana,
Manitoba Gold (M)
and NuFuelLand (N) and
finds that the cannabis output averages 1.2 and 2.1 grams per plant respectively, with corresponding standard
deviations of 0.4g and 0.65g. Moreover, this output appears to be Gaussian (Normally) distributed.
BHP has greenhouses with 120 Manitoba Gold
and 90 NuFuelLand plants.
2a) [ 2 ]
What is the expected total production of cannabis from all the greenhouses.
2b) [ 3 ]
What is the variance of the total production of cannabis from all the greenhouses if the production of
the two varieties is independent.
2c) [ 4 ] Since the plants grow under similar conditions, there is actually a 0.7 correlation between their
production. What is the standard deviation of the production of cannabis from the set of greenhouses.
2d) [ 4 ]
Regardless of your answers in (a) and (b), use a normal/Gaussian distribution with expected total
output of 300 g with standard deviation 80 g. What is the probability that BHP will get more than 352g from all
the greenhouses.
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 Winter '00
 Phansalker
 Management, Normal Distribution, Standard Deviation, Cannabis, service time, hi power

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