sample. Are owning a fast car and getting more than 1 speeding ticket independent?
Use
probabilities and show your work.
>1 speeding ticket
Got 0 or 1 speeding tickets
Has a fast car
.12
.03
Doesn’t have a fast car
.19
.66
P(fast less than 1 ticket) =
= .387
P(fast) = .15
These probabilities are not equal, so owing a fast and getting less than 1 speeding ticket are
NOT independent.
Problem 4
Exactly three restaurants serve a small town in Ohio. Restaurant A has 50% of all the business,
restaurant B has 30% and restaurant C has the rest of them (20%). Customer satisfaction rates are
80%, 65%, and 40%, respectively.
a. Make a tree diagram and a table from the probabilities above. Include clear labels for all
probabilities and events.
.6
.4
.35
.65
.2
.8
.5
.3
.2
S
NS
A
.4
.1
.5
B
.195
.105
.3
C
.080
.120
.2
.675
.325
1.0
A
B
C
S A
NS A
S B
NS B
S C
NS C
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View Full Documentb. You are going to eat at a restaurant in this small town in Ohio (so it has to be one of these 3
restaurants). Based on the information given, what is the chance that you will be satisfied?
P(S) = (.8)(.5) + (.65)(.3) + (.4)(.2) = .675 (the sum of column 1 in the table)
c. Suppose you ate at one of these restaurants and you were not satisfied. What is the chance you
ate at Restaurant C? Use probabilities and show your work.
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 Fall '11
 Johnson
 Statistics, Probability, ABO blood group system, Fast Car

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