BA 240
W. Li
Answer Sheet
QUIZ 3
Show your work clearly and completely.
Problem 1
:
In a survey of 100 workers in ABC Inc., 70% are Male (MALE) and 10% hold MBA
degrees (MBA). In addition, among those who have MBA degrees, 60% of them are
Male. Construct a twoway contingency table (use the pairs of events MALE and
FEMALE, MBA and NO MBA), and use it to answer the following questions.
Keep
answers in Fractions (DO NOT SIMPLIFY)
for Problem 1a) to 1e)
(1 point each)
MALE
FEMALE
TOTAL
MBA
6
4
10
NO MBA
64
26
90
TOTAL
70
30
100
Note 1: Calculate the actual values; do NOT write percentage or probability.
Note 2: Include TOTAL Row and TOTAL Column.
a)
Find the probability of a chosen worker, who is a MALE and also holds a MBA degree..
“both…and…” means INTERSECTION “∩”
100
6
)
(
MBA
MALE
P
b)
Find the probability of a chosen worker, who is a MALE and also does not hold a MBA
degree.
“both…and…” means INTERSECTION “∩”
100
64
)
(
NOMBA
MALE
P
c)
Find the probability of a chosen worker, who is a FEMALE and holds a MBA degree.
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 Spring '08
 Li
 MBA degree, FEMALE MBA

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