3. Mason students on each campus were asked: Where were you born? The results are summarized below: Campus Fairfax(F) Arlington(A) Sci-Tech(S) Virginia(V) 250 60 155 International (I). 180 25 15 Other(O) 150 35 45 For each of the following, assume random selection Your responses MUST include the probability notation (e.g., P(V|A) = 60/120)) a. What is the probability of selecting a student who was born in Virginia? b. If the student selected is a Fairfax student, what is the probability that the student was born in Virginia? c. If the student selected was born in another state, what is the probability that the student is an Arlington student? d. If the student selected is an Arlington student, what is the probability that the student was born in another state? e. Are International and Fairfax independent events? You must use a formula for independent events.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 48E
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3. Mason students on each campus were asked: Where were you born? The results are
summarized below:
Campus
Fairfax(F)
Arlington (A)
Sci-Tech(S)
International (I)
180
25
Other(O)
Virginia(V)
250
60
155
150
35
45
15
For each of the following, assume random selection Your responses MUST include
the probability notation (e.g., P(V|A) = 60/120))
a. What is the probability of selecting a student who was born in Virginia?
b. If the student selected is a Fairfax student, what is the probability that the
student was born in Virginia?
c. If the student selected was born in another state, what is the probability that
the student is an Arlington student?
d. If the student selected is an Arlington student, what is the probability that
the student was born in another state?
e. Are International and Fairfax independent events? You must use a formula
for independent events.
Transcribed Image Text:3. Mason students on each campus were asked: Where were you born? The results are summarized below: Campus Fairfax(F) Arlington (A) Sci-Tech(S) International (I) 180 25 Other(O) Virginia(V) 250 60 155 150 35 45 15 For each of the following, assume random selection Your responses MUST include the probability notation (e.g., P(V|A) = 60/120)) a. What is the probability of selecting a student who was born in Virginia? b. If the student selected is a Fairfax student, what is the probability that the student was born in Virginia? c. If the student selected was born in another state, what is the probability that the student is an Arlington student? d. If the student selected is an Arlington student, what is the probability that the student was born in another state? e. Are International and Fairfax independent events? You must use a formula for independent events.
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