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?

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please help with question 9 and 10

 

Duc
Home Insert Draw Design Layout
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1148 words
v 12
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English (United States)
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Title
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?
AaBb CcDd E€
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
Focus
!!!
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>
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I
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Comments
E
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164%
Transcribed Image Text:Duc Home Insert Draw Design Layout A^ A AutoSave OFF Paste Page 2 of 5 Times B I U 1148 words v 12 ✓ ab IX X 2 V x² A V References Aa ✓ Αν Mailings Review View V V English (United States) RCM A↓ V Exam 2 - Practice Tell me AaBbCcDdEe Normal AaBbCcDd Ee Accessibility: Investigate No Spacing AaBb CcD Heading 1 AaBbCcDdE AaBb Heading 2 Title 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? AaBb CcDd E€ 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 Focus !!! Share > Styles Pane I Editing Dictate Comments E Editor 164%
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