# Questions tagged [normal-approximation]

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### 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 ...
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### Approximating a distribution with normal

Let's say I generated samples from a distribution $f$ whose functional form I do not know. I want to approximate this distirbution with a multi-variate normal. We know that if samples are generated ...
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### How does Normal approximation work when ties exist for Wilcoxon Signed rank test?

I ran wilcox.test() in R (outcome variable was a test score and the data was paired samples) and got a warning message saying that it cannot generate a p-value for tied values. I saw the R document ...
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### at what probability will the probability we start considering the data?

For example I have this problem, Do Americans tend to vote for the taller of the two candidates in a presidential election? In 30 presidential elections since 1856, 18 of the winners were taller than ...
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### What is the correct terminology for repeating groups of coin flips multiple times in a simulation?

I previously posted a question that is causing a lot of confusion because my terminology is incorrect. I decided to post this question to ensure I am starting my problem with the correct terminology. ...
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### 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. ...
61 views

### Normal Approximation to Binomial Question

I am having issues solving the following problem: A recent study found that cedar trees by indigenous settlements grow taller than cedar trees not by indigenous settlements. The probability of a ...
123 views

### Normal approximation on (what it looks like) a poisson

I am self-studying inferential statistics from Larson's introductory textbook named: "Introduction to Probability Theory and Statistical Inference" (1st edition John Wiley & Sons.). I came ...
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### Lower Bound on the Total Variation Distance between two Binomials

Let $X= B(n,1/2)$, $Y=B(n,1/2 + \delta)$, for a small $\delta >0$ be two Binomial Distributions. Question 1. I am looking for a lower bound on the Total Variation Distance the two Binomials ...
122 views

### A box contains 48 tickets  and 52 . 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 ...
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### How to test proportion against 1 - null hypothesis: H0: p=1

My research question: I have a data set with good observations and bad observations and have to estimate if all observations are good in the population with 99% confidence. My suggested method: My ...
93 views

### Approximate meaning of probability? [closed]

After the football match each football fan leave on the stadium 2 empty bottles. The janitor finds the bottle with probability 0.3. Find the approximate meaning of probability that the janitor ...
Suppose that we have a very large i.i.d. sample $x_1,...,x_n$ and a data likelihood defined by $$p(x | \theta,\beta) = \prod_ip(x_i | \theta,\beta)$$. Further suppose that $\theta$ is the parameter ...