Jeremy Doncouse
25
MGMT313
Week 3
Problems 4, 11, 19, 21, 22, 25, 27, 31, 35, 37
4
Consider the experiment of tossing a coin three times.
a. Develop a tree diagram for the experiment.
27
31
b. List the experimental outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
c. What is the probability for each experimental outcome?
1/8
11
Driver Using Seat Belt?
Region
Yes
No
Northwest
148
52
Midwest
162
54
South
296
74
West
252
48
Totals
858
228
35
a. For the U.S., what the probability that a driver is using a seat belt?
b. Dr. Jeffrey Runge would be please because he expected 0.78 but the probability
increase to 0.79.
c. Probability of seat belt usage by region? What region has the highest usage?
Driver Using Seat Belt?
Probability
Region
Yes
No
Northwest
148
52
0.74
Midwest
162
54
0.75
South
296
74
0.80
79
.
0
1086
/
858
1086
228
858
=
=
+
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252
48
0.84 The West has the highest.
Totals
858
228
0.79
d. What proportion of drivers in the sample came from each region? What region had
the most drivers? The second most?
Driver Using Seat Belt?
Proportion
Region
Yes
No
Northwest
148
52
0.18
Midwest
162
54
0.20
South
296
74
0.34 The most
West
252
48
0.28 The second most
Totals
858
228
1086
1.00
37
e. Assuming the total number of drivers in each region is the same, do you see any
reason why the probability estimate in part (a) might be too high? Explain.
Yes, because the regions with the highest proportion also have the highest probability
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 Spring '10
 n/a
 Probability, credit score, Credit history, Credit rating

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