ADM 2303 Final Examination
- 1 -
December 20, 1999
University of Ottawa
Faculty of Administration
ADM 2303: STATISTICS FOR MANAGEMENT I
SPECIAL FINAL EXAMINATION January 2000
NAME:
S.N.
Section: A
B
C
D
Time: 3 hours
Total marks:60
ALL ANSWERS (INCLUDING BRIEF EXPLANATIONS) GO ON THE ANSWER SHEET. THE EXAM
QUESTION SHEETS WILL
NOT
BE MARKED, though space is provided here for your rough work. The
question sheets
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.
THERE ARE MARKS FOR IDENTIFYING PROBABILITY DISTRIBUTIONS. Calculators, 1 sheet of notes,
on 8.5" by 11" paper (no stick-ons!).
You do
not
need to interpolate, but take the nearest table value.
Q 1. The Ottawa area now has approximately 340,000 households. About 0.0082% of these have annual incomes
exceeding $10,000,000. On the other hand, about 27.3% households have income exceeding $48,000 per year.
Suppose Statistics Canada sends out a "long" census form that asks about income to 1 household in 10 in Ottawa.
Other forms do not ask about income, so we are only interested in the "long" form.
a) [3] What is the probability no returned form has an income exceeding $10,000,000?
b) [ 3 ] What is the probability 2 forms or more are returned with income exceeding $10,000,000?
A statistician pulls 10 returned forms at random from those returned.
c) [ 3 ]
What is the probability he finds none with income > $48,000?.
d) [ 3 ] What is the probability he finds 3 forms with income > $48,000?
e) [ 5 ] The statistician now expands his/her checks and pulls 300 forms at random. What is the probability more
than 92 have income >$48,000?
f) [ 4 ] The statistician has 11 forms reporting incomes exceeding $1,000,000 on his/her desk. Another employee,
in violation of the Statistics Act, manages to sneak a look at 5 of the forms in order to find out who are the single
millionnaires in order to follow the advice of the film "How to marry a millionnaire". If 4 of the 11 forms are from
single
millionnaires, what is the chance the sneak learns about at least 2 single millionnaires?