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4 votes
1 answer
392 views

Convergence in distribution for difference in sample means?

Suppose $X_i, i=1,\ldots, n$ are $i.i.d.$ random variables with mean $\mu_X$ and variance $\sigma^2_X$ $Y_j, j=1,\ldots, m$ are $i.i.d.$ random variables with mean $\mu_Y$ and variance $\sigma^2_Y$ $\...
dereklck's user avatar
2 votes
1 answer
1k views

Can Student's t-distribution be used in Normal Approximation to Binomial?

The question nearly covers it all. I clearly have a binomial distribution, however the variance and standarddeviations are unknown, the population is also just ...
JMy's user avatar
  • 23
4 votes
1 answer
2k views

What is the difference between normal approximation and poisson approximation of binomial distribution?

what is the difference between Poisson distribution as an approximation of Binomial distribution and Normal (Gaussian) distribution as an approximation of Binomial distribution? Both are ...
Jay Khade's user avatar
0 votes
1 answer
40 views

How normal is the following distribution of data? [closed]

I'm using the following dataset with 2 columns (features) and 1 label to train a Gaussian Naive Bayes classifier. How would you determine (using a stastiscal normality test) whether the data is ...
G. Hafling's user avatar
20 votes
4 answers
5k views

Why does increasing the sample size of coin flips not improve the normal curve approximation?

I'm reading the Statistics (Freeman, Pisani, Purves) book and I'm trying to reproduce an example where a coin is tossed say 50 times, the number of heads counted and this is repeated say 1,000 times. ...
Chris Snow's user avatar
0 votes
2 answers
157 views

A box contains 48 tickets [1] and 52 [0]. If you draw 10 times at random and with replacement, what is the probability of getting a sum of 3 or less?

I came across a question like this and I try it to solve it by 2 different methods. However, these 2 methods don't yield the same answer. So, I'd like to ask you what am I missing. I'm clearly doing ...
Stan's user avatar
  • 3