Let Y be a binomial random variable with parameters n = 100 and p = 1/2 Using the Central LimitTheorem which of the following are correct?a)mean = 25b)mean = 50c)variance2 = 12.5d)variance 2= 25Correct answer is option 'B,D'. Can you explain this answer?

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Let Y be a binomial random variable with parameters n = 100 and p = 1/2 Using the Central LimitTheorem which of the following are correct?

a)
mean μ = 25
b)
mean μ= 50
c)
variance σ² = 12.5
d)
variance σ²= 25

Correct answer is option 'B,D'. Can you explain this answer?

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Let Y be a binomial random variable with parameters n = 100 and p = 1/...

(B,D) A binomial random variable Y with parameters n = 100 and p = 1/2
can be written as :

where X₁, ..., X₁₀₀ are mutually independent Bernoulli random variables with parameter p
= 1/2
Thus:

we know that the distribution of X₁₀₀ can be approximated by a normal distribution:

Therefore, the distribution of Y can be approximated by:

Thus, Y can be approximated by a normal distribution with mean μ = 50 and variance
σ² = 25.

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Let Y be a binomial random variable with parameters n = 100 and p = 1/2 Using the Central LimitTheorem which of the following are correct?a)mean = 25b)mean = 50c)variance2 = 12.5d)variance 2= 25Correct answer is option 'B,D'. Can you explain this answer?

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Let Y be a binomial random variable with parameters n = 100 and p = 1/2 Using the Central LimitTheorem which of the following are correct?a)mean = 25b)mean = 50c)variance2 = 12.5d)variance 2= 25Correct answer is option 'B,D'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about Let Y be a binomial random variable with parameters n = 100 and p = 1/2 Using the Central LimitTheorem which of the following are correct?a)mean = 25b)mean = 50c)variance2 = 12.5d)variance 2= 25Correct answer is option 'B,D'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let Y be a binomial random variable with parameters n = 100 and p = 1/2 Using the Central LimitTheorem which of the following are correct?a)mean = 25b)mean = 50c)variance2 = 12.5d)variance 2= 25Correct answer is option 'B,D'. Can you explain this answer?.

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