List questions from central-limit-theorem

Published on 13 Apr 2026 - 14:06

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Illustrating Normal Approximation to Binomial (CLT)

Published on 10 May 2026 - 19:49

3.3k

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How Sample mean equals Population Mean?

Published on 10 May 2026 - 20:49

3.6k

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Using the normal approximation, find the probability that the sum of the face values of the 100 trials is less than 300

Published on 15 Apr 2026 - 8:54

163

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Sum of i.i.d. sequence converging to Normal Distribution

Published on 16 Apr 2026 - 3:30

45

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An application of Liapunov's Condition with a parameter restriction

Published on 12 Apr 2026 - 16:43

175

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Use CLT to find the probability

Published on 13 Apr 2026 - 5:11

2.8k

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Calculation of confidence interval for population mean if population not normally distributed

Published on 12 Apr 2026 - 9:13

240

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CLT for triangular array of globally bounded random variables

Published on 14 Apr 2026 - 21:43

312

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Show that $\frac{X_n-nm}{\sqrt{nm}} \xrightarrow{d}N(0,1) , X_n \in Bin(n^2,m/n),m>0$

Published on 17 Apr 2026 - 6:26

245

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Deduce upper bound of variance from Chernoff-type tail bound

Published on 10 May 2026 - 13:49

429

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Convergence of sample mean using CLT

Published on 10 May 2026 - 14:03

33

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problem defining distribution and probability

Published on 10 Apr 2026 - 17:00

201

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approximation to standard normal distribution

Published on 13 Apr 2026 - 9:34

606

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Find the limit of $\sum\limits_{r=\lfloor an \rfloor}^{\lfloor bn \rfloor} {n \choose r } p^r (1-p)^{n-r}$ using the central limit theorem

Published on 14 Apr 2026 - 20:10

List Question

Sampling distribution Normal Approximation Misfit

Illustrating Normal Approximation to Binomial (CLT)

How Sample mean equals Population Mean?

Using the normal approximation, find the probability that the sum of the face values of the 100 trials is less than 300

Sum of i.i.d. sequence converging to Normal Distribution

An application of Liapunov's Condition with a parameter restriction

Use CLT to find the probability

Calculation of confidence interval for population mean if population not normally distributed

CLT for triangular array of globally bounded random variables

Show that $\frac{X_n-nm}{\sqrt{nm}} \xrightarrow{d}N(0,1) , X_n \in Bin(n^2,m/n),m>0$

Deduce upper bound of variance from Chernoff-type tail bound

Convergence of sample mean using CLT

problem defining distribution and probability

approximation to standard normal distribution

Find the limit of $\sum\limits_{r=\lfloor an \rfloor}^{\lfloor bn \rfloor} {n \choose r } p^r (1-p)^{n-r}$ using the central limit theorem

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