CA Foundation Exam > CA Foundation Questions > The maximum value of the variance of a binomi...
Start Learning for Free
The maximum value of the variance of a binomial distribution with parameters n and p is
- a)n/2
- b)n/4
- c)np (1 – p)
- d)2n
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
The maximum value of the variance of a binomial distribution with para...
The maximum value of the variance of a binomial distribution with parameters n and p is np(1-p).
To find the maximum value of the variance, we can take the derivative of the variance formula with respect to p and set it equal to zero.
Variance = np(1-p)
dV/dp = n(1-p) - np
Setting this equal to zero and solving for p, we get:
n(1-p) - np = 0
n - np - np = 0
n - 2np = 0
n = 2np
1 = 2p
p = 1/2
Substituting this value of p back into the variance formula, we get:
Variance = n(1/2)(1-1/2)
Variance = n/2
Therefore, the maximum value of the variance is n/2.
So the correct answer is a) n/2.
To find the maximum value of the variance, we can take the derivative of the variance formula with respect to p and set it equal to zero.
Variance = np(1-p)
dV/dp = n(1-p) - np
Setting this equal to zero and solving for p, we get:
n(1-p) - np = 0
n - np - np = 0
n - 2np = 0
n = 2np
1 = 2p
p = 1/2
Substituting this value of p back into the variance formula, we get:
Variance = n(1/2)(1-1/2)
Variance = n/2
Therefore, the maximum value of the variance is n/2.
So the correct answer is a) n/2.
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
The maximum value of the variance of a binomial distribution with parameters n and p isa)n/2b)n/4c)np (1 – p)d)2nCorrect answer is option 'B'. Can you explain this answer?
Question Description
The maximum value of the variance of a binomial distribution with parameters n and p isa)n/2b)n/4c)np (1 – p)d)2nCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The maximum value of the variance of a binomial distribution with parameters n and p isa)n/2b)n/4c)np (1 – p)d)2nCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The maximum value of the variance of a binomial distribution with parameters n and p isa)n/2b)n/4c)np (1 – p)d)2nCorrect answer is option 'B'. Can you explain this answer?.
The maximum value of the variance of a binomial distribution with parameters n and p isa)n/2b)n/4c)np (1 – p)d)2nCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The maximum value of the variance of a binomial distribution with parameters n and p isa)n/2b)n/4c)np (1 – p)d)2nCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The maximum value of the variance of a binomial distribution with parameters n and p isa)n/2b)n/4c)np (1 – p)d)2nCorrect answer is option 'B'. Can you explain this answer?.
Solutions for The maximum value of the variance of a binomial distribution with parameters n and p isa)n/2b)n/4c)np (1 – p)d)2nCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of The maximum value of the variance of a binomial distribution with parameters n and p isa)n/2b)n/4c)np (1 – p)d)2nCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
The maximum value of the variance of a binomial distribution with parameters n and p isa)n/2b)n/4c)np (1 – p)d)2nCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for The maximum value of the variance of a binomial distribution with parameters n and p isa)n/2b)n/4c)np (1 – p)d)2nCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of The maximum value of the variance of a binomial distribution with parameters n and p isa)n/2b)n/4c)np (1 – p)d)2nCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice The maximum value of the variance of a binomial distribution with parameters n and p isa)n/2b)n/4c)np (1 – p)d)2nCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation 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