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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) 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.

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.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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**3. Mason students on each campus were asked: Where were you born? The results are summarized below:** | Campus | Virginia (V) | Other (O) | International (I) | |--------------|--------------|-----------|--------------------| | Fairfax (F) | 250 | 150 | 180 | | Arlington (A)| 60 | 35 | 25 | | Sci-Tech (S) | 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:**3. Mason students on each campus were asked: Where were you born? The results are summarized below:** | Campus | Virginia (V) | Other (O) | International (I) | |--------------|--------------|-----------|--------------------| | Fairfax (F) | 250 | 150 | 180 | | Arlington (A)| 60 | 35 | 25 | | Sci-Tech (S) | 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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