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Let X1, X2, … be a sequence of i.i.d. continuous random variables with the probability density function

If Sn = X1 + X2 + ⋯ + Xn and = s/n, then the distributions of which of the following sequences of random variables converge(s) to a normal distribution with mean 0 and a finite variance?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A,C,D'. Can you explain this answer?
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Let X1, X2, … be a sequence of i.i.d. continuous random variables with the probability density functionIf Sn= X1 + X2 + + Xnand = sn/n, then the distributions of which of the following sequences of random variables converge(s) to a normal distribution with mean 0 and a finite variance?a)b)c)d)Correct answer is option 'A,C,D'. Can you explain this answer?
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Let X1, X2, … be a sequence of i.i.d. continuous random variables with the probability density functionIf Sn= X1 + X2 + + Xnand = sn/n, then the distributions of which of the following sequences of random variables converge(s) to a normal distribution with mean 0 and a finite variance?a)b)c)d)Correct answer is option 'A,C,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 X1, X2, … be a sequence of i.i.d. continuous random variables with the probability density functionIf Sn= X1 + X2 + + Xnand = sn/n, then the distributions of which of the following sequences of random variables converge(s) to a normal distribution with mean 0 and a finite variance?a)b)c)d)Correct answer is option 'A,C,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 X1, X2, … be a sequence of i.i.d. continuous random variables with the probability density functionIf Sn= X1 + X2 + + Xnand = sn/n, then the distributions of which of the following sequences of random variables converge(s) to a normal distribution with mean 0 and a finite variance?a)b)c)d)Correct answer is option 'A,C,D'. Can you explain this answer?.
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