Class 11 Exam > Class 11 Questions > For a student enrolling at freshman at certai...
Start Learning for Free
For a student enrolling at freshman at certain university the
probability is 0.25 that he/she will get scholarship and 0.75 that he/she
will graduate. If the probability is 0.2 that he/she will get scholarship
and will also graduate. What is the probability that a student who get a
scholarship graduate?
probability is 0.25 that he/she will get scholarship and 0.75 that he/she
will graduate. If the probability is 0.2 that he/she will get scholarship
and will also graduate. What is the probability that a student who get a
scholarship graduate?
Most Upvoted Answer
For a student enrolling at freshman at certain university theprobabili...
Solution:
Given that:
The probability of a student getting a scholarship = 0.25
The probability of a student graduating = 0.75
The probability of a student getting a scholarship and graduating = 0.2
We need to find the probability that a student who gets a scholarship will graduate.
Let us solve this problem step by step:
Step 1: Finding the probability of not getting a scholarship
The probability of not getting a scholarship = 1 - probability of getting a scholarship
= 1 - 0.25
= 0.75
Step 2: Finding the probability of graduating without getting a scholarship
The probability of graduating without getting a scholarship = probability of graduating - probability of getting a scholarship and graduating
= 0.75 - 0.2
= 0.55
Step 3: Finding the probability of graduating given that a student has a scholarship
The probability of graduating given that a student has a scholarship can be found using Bayes' theorem which states that:
P(A|B) = P(B|A) * P(A) / P(B)
Where,
P(A|B) is the probability of A given B
P(B|A) is the probability of B given A
P(A) is the probability of A
P(B) is the probability of B
In our case,
A = Graduating
B = Getting a scholarship
Therefore,
P(Graduating|Getting a scholarship) = P(Getting a scholarship|Graduating) * P(Graduating) / P(Getting a scholarship)
= (0.2 / 0.75) * 0.75 / 0.25
= 0.2
Therefore, the probability that a student who gets a scholarship will graduate is 0.2 or 20%.
Conclusion:
The probability that a student who gets a scholarship will graduate is 0.2 or 20%. This means that out of all the students who get a scholarship, only 20% of them will graduate.
Given that:
The probability of a student getting a scholarship = 0.25
The probability of a student graduating = 0.75
The probability of a student getting a scholarship and graduating = 0.2
We need to find the probability that a student who gets a scholarship will graduate.
Let us solve this problem step by step:
Step 1: Finding the probability of not getting a scholarship
The probability of not getting a scholarship = 1 - probability of getting a scholarship
= 1 - 0.25
= 0.75
Step 2: Finding the probability of graduating without getting a scholarship
The probability of graduating without getting a scholarship = probability of graduating - probability of getting a scholarship and graduating
= 0.75 - 0.2
= 0.55
Step 3: Finding the probability of graduating given that a student has a scholarship
The probability of graduating given that a student has a scholarship can be found using Bayes' theorem which states that:
P(A|B) = P(B|A) * P(A) / P(B)
Where,
P(A|B) is the probability of A given B
P(B|A) is the probability of B given A
P(A) is the probability of A
P(B) is the probability of B
In our case,
A = Graduating
B = Getting a scholarship
Therefore,
P(Graduating|Getting a scholarship) = P(Getting a scholarship|Graduating) * P(Graduating) / P(Getting a scholarship)
= (0.2 / 0.75) * 0.75 / 0.25
= 0.2
Therefore, the probability that a student who gets a scholarship will graduate is 0.2 or 20%.
Conclusion:
The probability that a student who gets a scholarship will graduate is 0.2 or 20%. This means that out of all the students who get a scholarship, only 20% of them will graduate.
Community Answer
For a student enrolling at freshman at certain university theprobabili...
0.8
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
For a student enrolling at freshman at certain university theprobability is 0.25 that he/she will get scholarship and 0.75 that he/shewill graduate. If the probability is 0.2 that he/she will get scholarshipand will also graduate. What is the probability that a student who get ascholarship graduate?
Question Description
For a student enrolling at freshman at certain university theprobability is 0.25 that he/she will get scholarship and 0.75 that he/shewill graduate. If the probability is 0.2 that he/she will get scholarshipand will also graduate. What is the probability that a student who get ascholarship graduate? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about For a student enrolling at freshman at certain university theprobability is 0.25 that he/she will get scholarship and 0.75 that he/shewill graduate. If the probability is 0.2 that he/she will get scholarshipand will also graduate. What is the probability that a student who get ascholarship graduate? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a student enrolling at freshman at certain university theprobability is 0.25 that he/she will get scholarship and 0.75 that he/shewill graduate. If the probability is 0.2 that he/she will get scholarshipand will also graduate. What is the probability that a student who get ascholarship graduate?.
For a student enrolling at freshman at certain university theprobability is 0.25 that he/she will get scholarship and 0.75 that he/shewill graduate. If the probability is 0.2 that he/she will get scholarshipand will also graduate. What is the probability that a student who get ascholarship graduate? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about For a student enrolling at freshman at certain university theprobability is 0.25 that he/she will get scholarship and 0.75 that he/shewill graduate. If the probability is 0.2 that he/she will get scholarshipand will also graduate. What is the probability that a student who get ascholarship graduate? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For a student enrolling at freshman at certain university theprobability is 0.25 that he/she will get scholarship and 0.75 that he/shewill graduate. If the probability is 0.2 that he/she will get scholarshipand will also graduate. What is the probability that a student who get ascholarship graduate?.
Solutions for For a student enrolling at freshman at certain university theprobability is 0.25 that he/she will get scholarship and 0.75 that he/shewill graduate. If the probability is 0.2 that he/she will get scholarshipand will also graduate. What is the probability that a student who get ascholarship graduate? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of For a student enrolling at freshman at certain university theprobability is 0.25 that he/she will get scholarship and 0.75 that he/shewill graduate. If the probability is 0.2 that he/she will get scholarshipand will also graduate. What is the probability that a student who get ascholarship graduate? defined & explained in the simplest way possible. Besides giving the explanation of
For a student enrolling at freshman at certain university theprobability is 0.25 that he/she will get scholarship and 0.75 that he/shewill graduate. If the probability is 0.2 that he/she will get scholarshipand will also graduate. What is the probability that a student who get ascholarship graduate?, a detailed solution for For a student enrolling at freshman at certain university theprobability is 0.25 that he/she will get scholarship and 0.75 that he/shewill graduate. If the probability is 0.2 that he/she will get scholarshipand will also graduate. What is the probability that a student who get ascholarship graduate? has been provided alongside types of For a student enrolling at freshman at certain university theprobability is 0.25 that he/she will get scholarship and 0.75 that he/shewill graduate. If the probability is 0.2 that he/she will get scholarshipand will also graduate. What is the probability that a student who get ascholarship graduate? theory, EduRev gives you an
ample number of questions to practice For a student enrolling at freshman at certain university theprobability is 0.25 that he/she will get scholarship and 0.75 that he/shewill graduate. If the probability is 0.2 that he/she will get scholarshipand will also graduate. What is the probability that a student who get ascholarship graduate? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup