Mechanical Engineering Exam > Mechanical Engineering Questions > Consider a binomial random variable X. If X1 ...
Start Learning for Free
Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated a
- a)Normal
- b)Bernoulli
- c)Binomial
- d)Exponential
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Consider a binomial random variable X. If X1 ,X2 ....., X n are indepe...
The distribution of Y as n approaches infinity is approximately a normal distribution.
This is known as the Central Limit Theorem, which states that the sum (or average) of a large number of independent and identically distributed random variables will be approximately normally distributed, regardless of the underlying distribution of the individual variables.
In the case of a binomial random variable, where each X_i can take on values of 0 or 1 with a certain probability of success p, the sum of these variables will represent the total number of successes out of n trials. As n gets larger, the distribution of Y will approach a normal distribution with mean np and variance np(1-p).
This is known as the Central Limit Theorem, which states that the sum (or average) of a large number of independent and identically distributed random variables will be approximately normally distributed, regardless of the underlying distribution of the individual variables.
In the case of a binomial random variable, where each X_i can take on values of 0 or 1 with a certain probability of success p, the sum of these variables will represent the total number of successes out of n trials. As n gets larger, the distribution of Y will approach a normal distribution with mean np and variance np(1-p).
Free Test
FREE
| Start Free Test |
Community Answer
Consider a binomial random variable X. If X1 ,X2 ....., X n are indepe...
The distribution of Y as n → ∞ can be approximated a Normal.
Attention Mechanical Engineering Students!
To make sure you are not studying endlessly, EduRev has designed Mechanical Engineering study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Mechanical Engineering.
|
Explore Courses for Mechanical Engineering exam
|
|
Similar Mechanical Engineering Doubts
Top Courses for Mechanical EngineeringView all
Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated aa)Normal b)Bernoullic)Binomiald)ExponentialCorrect answer is option 'A'. Can you explain this answer?
Question Description
Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated aa)Normal b)Bernoullic)Binomiald)ExponentialCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated aa)Normal b)Bernoullic)Binomiald)ExponentialCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated aa)Normal b)Bernoullic)Binomiald)ExponentialCorrect answer is option 'A'. Can you explain this answer?.
Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated aa)Normal b)Bernoullic)Binomiald)ExponentialCorrect answer is option 'A'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated aa)Normal b)Bernoullic)Binomiald)ExponentialCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated aa)Normal b)Bernoullic)Binomiald)ExponentialCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated aa)Normal b)Bernoullic)Binomiald)ExponentialCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Mechanical Engineering.
Download more important topics, notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.
Here you can find the meaning of Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated aa)Normal b)Bernoullic)Binomiald)ExponentialCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated aa)Normal b)Bernoullic)Binomiald)ExponentialCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated aa)Normal b)Bernoullic)Binomiald)ExponentialCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated aa)Normal b)Bernoullic)Binomiald)ExponentialCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Consider a binomial random variable X. If X1 ,X2 ....., X n are independent and identically distributed samples from the distribution of X with sum then the distribution of Y as n → ∞ can be approximated aa)Normal b)Bernoullic)Binomiald)ExponentialCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
|
|
Explore Courses for Mechanical Engineering 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