9. Sixty percent of the student body at UTC is from the state of Tennessee (T), 30% percent are from other states (O), and the remainder are international students (I). Twenty percent of students from Tennessee live in the dormitories, whereas, 50% of students from other states live in the dormitories. Finally, 80% of the international students live in the dormitories. a) What percentage of UTC students live in the dormitories? b) Given that a student lives in the dormitory, what is the probability that she/he is an international student? c) Given that a student lives in the dormitory, what is the probability that she/he is from Tennessee?
9. Sixty percent of the student body at UTC is from the state of Tennessee (T), 30% percent are from other states (O), and the remainder are international students (I). Twenty percent of students from Tennessee live in the dormitories, whereas, 50% of students from other states live in the dormitories. Finally, 80% of the international students live in the dormitories. a) What percentage of UTC students live in the dormitories? b) Given that a student lives in the dormitory, what is the probability that she/he is an international student? c) Given that a student lives in the dormitory, what is the probability that she/he is from Tennessee?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
please help with question 9 and 10

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8. As a company manager for Claimstat Corporation there is a 0.40 probability that you will be promoted
this year. The probability of getting a promotion and a raise is 0.25. There is a 0.72 probability that you
will get a promotion, a raise, or both.
a) Given that you get a promotion, what is the probability that you will also get a raise?
b) What is the probability that you will get a raise?
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9. Sixty percent of the student body at UTC is from the state of Tennessee (T), 30% percent are from other states
(O), and the remainder are international students (I). Twenty percent of students from Tennessee live in the
dormitories, whereas, 50% of students from other states live in the dormitories. Finally, 80% of the international
students live in the dormitories.
a) What percentage of UTC students live in the dormitories?
b) Given that a student lives in the dormitory, what is the probability that she/he is an
international student?
c) Given that a student lives in the dormitory, what is the probability that she/he is from
Tennessee?
10. At a Texas college, 60% of the students are from the southern part of the state, 30% are from the northern part of
the state, and the remaining 10% are from out-of-state. All students must take and pass an Entry Level Math
(ELM) test. 60% of the southerners have passed the ELM, 70% of the northerners have passed the ELM, and
90% of the out-of-staters have passed the ELM.
b) the probability that a randomly selected student has passed the ELM is
c)
Given a randomly selected student has passed the ELM, the probability the student is from out-of-state is
Subtitle
a) the probability that a randomly selected student is someone from northern Texas and has not passed the ELM
is
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