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MSCI 3700
EXAM 2A
Name _______________________
Fall, 1998
Problems 1  5 use the following information.
A mailorder firm keeps track of the orders it receives from three geographical regions, East, West, and
North.
For each region, the number of customers ordering size small, size medium, and size large was
observed.
The data are shown below.
SIZE
REGION
Small (S)
Medium (M)
Large (L)
TOTAL
East (E)
100
160
140
400
West (W)
60
140
150
350
North (N)
90
100
60
250
TOTAL
250
400
350
1000
One of the orders is selected at random.
1. What is the probability that the order is from the West region?
This is P(W).
a. .06
b. .25
c. .35
d. .45
e. .30
2. What is P(W or S)?
This represents the chances that the selected order is from the West
region
or is for the small size.
a. .06
b. .45
c. .54
d. .60
e. .72
3. What is P(E│S)?
a. .10
b. .40
c. .35
d. .25
e. .20
4. Are events M and E independent?
a. Yes, since P(M and E) is zero.
b. Yes, since P(M│E) is the same as P(M).
c. Yes, since P(M│E) is the same as P(E).
d. No, since P(M│E) is not
the same as P(M).
e. No, since P(M and E) is not
zero.
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View Full Document5. Are events M and E mutually exclusive?
a. Yes, since P(M and E) is zero.
b. Yes, since P(M│E) is the same as P(M).
c. Yes, since P(M│E) is the same as P(E).
d. No, since P(M│E) is not
the same as P(M).
e. No, since P(M and E) is not
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 Spring '08
 Hossain

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