# bernoulli

1. ### Binomial/Poisson (or any ) Distribution for finding out probability of me getting into a business school,plz help with my calculation.

Probability of getting into a business school is 10%,I have applied to 12 business schools,what is probability that i get accepted by atleast 1 of them? My solution as per Binomial Distribution:- Probability of success(p)=1/10...
2. ### Probability that Bernoulli p-parameter is greater than some value, given N samples?

Hello everybody, I have the following question. Assume I observe N outcomes from a Bernoulli random variable with unknown success parameter p. Based on these outcomes (or samples), how likely is it that the real parameter p is larger (or smaller) than a given value eps (e.g., 1%)? Any...
3. ### Poisson Model Help

Hi everyone, I am having a hard time finding my lambda for this homework question. I know something has to be multiplied to get it into the same units and that lambda has to be an average. However all the information I am given is an average. If you could help me that would be great!! Here...
4. ### Central limit theorem - Approximation the Sum of Bernoullis to Normal Distribution

Hello, I'm new in this forum and I would like to ask for your help. I have a set of Independent Bernoulli random variables, but they are not identically distributed, with different success probabilities. I would like to approximate the Sum of this random variables, but since they are not...
5. ### Combining Bernoulli distributions

Combining Bernoulli distributions [Solved] I'm looking for a way to find the standard deviation of a certain distribution. This distribution is created by performing n_0 Bernoulli trials with probability p_0. The number of successes is recorded as n_1. n_1 Bernoulli trials are then performed...
6. ### Estimating a pdf from binomial trials - point me in the right direction?

Hi, I'm afraid I'm not an expert in statistics, but I have a particular problem I'm interested in solving. I'm pretty sure this area already has a lot of literature, but I'm having difficulty finding something directly applicable to what I'm doing, so it would be great if somebody could nudge...
7. ### Fitting a model with Bernoulli/Binomially distributed data

I am used to fitting data to estimate parameters in a model f(x,A) where x is my data point and A is the parameter(s) to be determined. To achieve this I usually use chi-squared fitting, so I am minimizing \chi^2 = \sum \frac{(y_i - f(x_i,A))^2}{\sigma_i^2}. I have recently been given an almost...
8. ### Alternative to chi-squared test needed

Hi all. I need a goodness of fit test for a situation in which a chi-squared test isn't appropriate - where the sum of the expected values does not necessarily equal the sum of the observed values. For example, I have 5 cells each with the same expected value of 10. The observations for...