Mason students on each campus were asked: Where were you born? The results are summarized below: Other(O) International (I) Campus Fairfax(F) Arlington(A) Virginia(V) 250 150 180 60 35 25 155 45 15 Sci-Tech(S) 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.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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)
Other(O)
International (1)
250
150
180
60
35
25
155
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: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) Other(O) International (1) 250 150 180 60 35 25 155 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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