CA Foundation Exam > CA Foundation Questions > For a Poisson distribution,a)mean and standar...
Start Learning for Free
For a Poisson distribution,
- a)mean and standard deviation are equal.
- b)mean and variance are equal.
- c)standard deviation and variance are equal.
- d)both (a) and (b).
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
For a Poisson distribution,a)mean and standard deviation are equal.b)m...
Mean and Variance of Poisson Distribution:
The Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant rate and independently of the time since the last event.
The mean and variance of a Poisson distribution are given by the parameter λ, which represents the average number of events that occur in the given interval.
- Mean: The mean of a Poisson distribution is equal to λ.
- Variance: The variance of a Poisson distribution is also equal to λ.
Explanation:
- Option (a): Mean and standard deviation are equal. This statement is not true for a Poisson distribution because the standard deviation of a Poisson distribution is equal to the square root of the variance, which is not equal to the mean.
- Option (b): Mean and variance are equal. This statement is true for a Poisson distribution because the mean and variance are both equal to the parameter λ.
- Option (c): Standard deviation and variance are equal. This statement is not true for a Poisson distribution because the standard deviation is the square root of the variance, and they are not equal to each other.
- Option (d): Both (a) and (b). This statement is not true because only option (b) is correct.
Conclusion:
In summary, the mean and variance of a Poisson distribution are equal, which means option (b) is the correct answer.
The Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant rate and independently of the time since the last event.
The mean and variance of a Poisson distribution are given by the parameter λ, which represents the average number of events that occur in the given interval.
- Mean: The mean of a Poisson distribution is equal to λ.
- Variance: The variance of a Poisson distribution is also equal to λ.
Explanation:
- Option (a): Mean and standard deviation are equal. This statement is not true for a Poisson distribution because the standard deviation of a Poisson distribution is equal to the square root of the variance, which is not equal to the mean.
- Option (b): Mean and variance are equal. This statement is true for a Poisson distribution because the mean and variance are both equal to the parameter λ.
- Option (c): Standard deviation and variance are equal. This statement is not true for a Poisson distribution because the standard deviation is the square root of the variance, and they are not equal to each other.
- Option (d): Both (a) and (b). This statement is not true because only option (b) is correct.
Conclusion:
In summary, the mean and variance of a Poisson distribution are equal, which means option (b) is the correct answer.
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
For a Poisson distribution,a)mean and standard deviation are equal.b)mean and variance are equal.c)standard deviation and variance are equal.d)both (a) and (b).Correct answer is option 'B'. Can you explain this answer?
Question Description
For a Poisson distribution,a)mean and standard deviation are equal.b)mean and variance are equal.c)standard deviation and variance are equal.d)both (a) and (b).Correct 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 For a Poisson distribution,a)mean and standard deviation are equal.b)mean and variance are equal.c)standard deviation and variance are equal.d)both (a) and (b).Correct 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 For a Poisson distribution,a)mean and standard deviation are equal.b)mean and variance are equal.c)standard deviation and variance are equal.d)both (a) and (b).Correct answer is option 'B'. Can you explain this answer?.
For a Poisson distribution,a)mean and standard deviation are equal.b)mean and variance are equal.c)standard deviation and variance are equal.d)both (a) and (b).Correct 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 For a Poisson distribution,a)mean and standard deviation are equal.b)mean and variance are equal.c)standard deviation and variance are equal.d)both (a) and (b).Correct 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 For a Poisson distribution,a)mean and standard deviation are equal.b)mean and variance are equal.c)standard deviation and variance are equal.d)both (a) and (b).Correct answer is option 'B'. Can you explain this answer?.
Solutions for For a Poisson distribution,a)mean and standard deviation are equal.b)mean and variance are equal.c)standard deviation and variance are equal.d)both (a) and (b).Correct 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 For a Poisson distribution,a)mean and standard deviation are equal.b)mean and variance are equal.c)standard deviation and variance are equal.d)both (a) and (b).Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
For a Poisson distribution,a)mean and standard deviation are equal.b)mean and variance are equal.c)standard deviation and variance are equal.d)both (a) and (b).Correct answer is option 'B'. Can you explain this answer?, a detailed solution for For a Poisson distribution,a)mean and standard deviation are equal.b)mean and variance are equal.c)standard deviation and variance are equal.d)both (a) and (b).Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of For a Poisson distribution,a)mean and standard deviation are equal.b)mean and variance are equal.c)standard deviation and variance are equal.d)both (a) and (b).Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice For a Poisson distribution,a)mean and standard deviation are equal.b)mean and variance are equal.c)standard deviation and variance are equal.d)both (a) and (b).Correct 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
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup