29 июн. 2016 г. · If n is large and WLOG p≤0.5, we have two cases : If p is near 0.5, the normal approximation is well. If p is small, the poisson-distribution ... |
19 нояб. 2016 г. · In the best case, you can expect only about two-place accuracy when approximating binomial probabilities by normal ones. Rhe stricter rule ... |
12 июл. 2022 г. · 1 Answer 1 ... If you want to approximate Xn∼Bin(n,p) with a normal distribution then you must go for Xn=∑ni=1Bi where the Bi are iid and have ... |
2 окт. 2023 г. · It is an approximation, and only works reasonably well in some cases. Let's take an example where it works well if you approach it sensibly, ... |
6 окт. 2020 г. · The reason we usually use a normal to approximate a binomial is because normal distributions are very easy to do calculations with, but binomial ... |
5 апр. 2021 г. · From what i've been taught, the aproximation is valid when: X∼B(n,p)⇒X∼N(np,np(1−p)) (aproximated) iffn≥20,np>5 and n(1−p)>5. |
29 июн. 2019 г. · Suppose we have a random variable X∼Bin(n,p) and we want to approximate P[X=k]. In my statistics course we learned two ways to do this: By ... |
15 мая 2017 г. · Let the random variable Y be the number of 6's obtained. Approximate the probabilities. Since n is such a high number we can treat it like a ... |
23 апр. 2018 г. · 1 Answer 1 ... You want the probability that the poll will show a majority in favor, which happens if X>100. Otherwise, your solution appears to ... |
8 окт. 2018 г. · It is true that when you look closely, the probability densities of binomial distribution and a normal distribution are quite different. In the ... |
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