tab hift Express the answers in simplest form. A list contains the names of seven anthropology students, two sociology students, and three psychology students. If one name is selected at random to assist in the professor's new study, find the probability that the chosen student is caps lock Part 1 of 5 (a) An anthropology student. P (anthropology)= Part 2 of 5 (b) A psychology student. P (psychology) = Next Part control ! 1 Q A @ 2 N 1 option W X X S # 3 80 E X 5 H command A 64 4 D 898 R C % 5 LL 322 MacBook Air T V 6 G Y & 7 B Submit Assignmen Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Canter Accessibilty 5 H A U 8 CHE J N ( 9 K M L < MOSISO 1 P of V { command
tab hift Express the answers in simplest form. A list contains the names of seven anthropology students, two sociology students, and three psychology students. If one name is selected at random to assist in the professor's new study, find the probability that the chosen student is caps lock Part 1 of 5 (a) An anthropology student. P (anthropology)= Part 2 of 5 (b) A psychology student. P (psychology) = Next Part control ! 1 Q A @ 2 N 1 option W X X S # 3 80 E X 5 H command A 64 4 D 898 R C % 5 LL 322 MacBook Air T V 6 G Y & 7 B Submit Assignmen Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Canter Accessibilty 5 H A U 8 CHE J N ( 9 K M L < MOSISO 1 P of V { command
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![### Probability Exercise: Finding Student Probabilities
**Objective:**
Express the answers in simplest form by calculating probabilities from a list of students.
---
A list contains the names of:
- Seven anthropology students
- Two sociology students
- Three psychology students
The task is to find the probability that a student chosen at random for a professor's new study is from a specific discipline.
---
**Part 1 of 5**
**(a) An anthropology student.**
Calculate \( P(\text{anthropology}) \).
**Solution:**
- Total number of students = 7 (anthropology) + 2 (sociology) + 3 (psychology) = 12
- Probability that the student is an anthropology student:
\[
P(\text{anthropology}) = \frac{7}{12}
\]
---
**Part 2 of 5**
**(b) A psychology student.**
Calculate \( P(\text{psychology}) \).
**Solution:**
- Probability that the student is a psychology student:
\[
P(\text{psychology}) = \frac{3}{12} = \frac{1}{4}
\]
---
**Note on Diagrams/Graphs:**
There are no graphs or diagrams included in this exercise. All tasks are based on simple probability calculations using fractions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ff6323c-cf7e-493a-b269-a8fbd92b416a%2F8cf4bee9-ae08-4a6b-8c93-cd960517a874%2F2ebrjir_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability Exercise: Finding Student Probabilities
**Objective:**
Express the answers in simplest form by calculating probabilities from a list of students.
---
A list contains the names of:
- Seven anthropology students
- Two sociology students
- Three psychology students
The task is to find the probability that a student chosen at random for a professor's new study is from a specific discipline.
---
**Part 1 of 5**
**(a) An anthropology student.**
Calculate \( P(\text{anthropology}) \).
**Solution:**
- Total number of students = 7 (anthropology) + 2 (sociology) + 3 (psychology) = 12
- Probability that the student is an anthropology student:
\[
P(\text{anthropology}) = \frac{7}{12}
\]
---
**Part 2 of 5**
**(b) A psychology student.**
Calculate \( P(\text{psychology}) \).
**Solution:**
- Probability that the student is a psychology student:
\[
P(\text{psychology}) = \frac{3}{12} = \frac{1}{4}
\]
---
**Note on Diagrams/Graphs:**
There are no graphs or diagrams included in this exercise. All tasks are based on simple probability calculations using fractions.
![**Transcription for Educational Website**
---
**Part 3 of 5**
**(c) An anthropology student or a sociology student.**
\( P(\text{anthropology or sociology}) = \)
[Box for input value]
**Part: 3 / 5**
[Progress Bar at 60%]
---
**Part 4 of 5**
**(d) Not a psychology student.**
\( P(\text{not psychology}) = \)
[Box for input value]
[Buttons: X, Reset]
---
**Navigation**
[Next Part] [Submit]
Terms of Use | Privacy Center
© 2022 McGraw Hill LLC. All Rights Reserved.
---
*Explanation:*
The content presents a probability assessment activity on an educational platform. Students are tasked with determining the probability associated with specific student groups. A progress bar indicates user completion, showing 60% progress. Two scenarios are provided: one asks for the probability of a student being in anthropology or sociology, and the other inquires about the probability of a student not being in psychology. Input boxes allow for student responses, with options to clear their answers or reset the form.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ff6323c-cf7e-493a-b269-a8fbd92b416a%2F8cf4bee9-ae08-4a6b-8c93-cd960517a874%2Fpm7n6dn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
---
**Part 3 of 5**
**(c) An anthropology student or a sociology student.**
\( P(\text{anthropology or sociology}) = \)
[Box for input value]
**Part: 3 / 5**
[Progress Bar at 60%]
---
**Part 4 of 5**
**(d) Not a psychology student.**
\( P(\text{not psychology}) = \)
[Box for input value]
[Buttons: X, Reset]
---
**Navigation**
[Next Part] [Submit]
Terms of Use | Privacy Center
© 2022 McGraw Hill LLC. All Rights Reserved.
---
*Explanation:*
The content presents a probability assessment activity on an educational platform. Students are tasked with determining the probability associated with specific student groups. A progress bar indicates user completion, showing 60% progress. Two scenarios are provided: one asks for the probability of a student being in anthropology or sociology, and the other inquires about the probability of a student not being in psychology. Input boxes allow for student responses, with options to clear their answers or reset the form.
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