# central

1. ### Central Limit Theorem for weighted summation of random variables?

Here is a quick question:- If X1, X2, X3,.... X20 are 20 random variables (independent/ idd) What would be the result of: 2*X1+5*X2+1*X3+18*X4...+0.5*X20? (linear combination of the random variables, with fixed known constants). Will the above function form a normal distribution if we...
2. ### Probability: Completely Lost... Central Limit Theorem(?)

Hi everyone, This is my first post here and I'm really sorry if this isn't done right. I have an exam coming up and I've been going through the questions we've had so far in class and this is... I have no idea how to begin with it, let alone proceed. When I went to the uni drop-in Numeracy...
3. ### A full proof of Berry-Esseen inequality in the Central Limit Theorem

I have some questions during the writing of this post. Please find it by reading this post via https://www.physicslog.com/proof-berry-essen-theorem/
4. ### How can I make lines of equal lengths to all directions from a central point?

I made a problem in my mind that I can't seem to solve. I need an answer because it is quite fundamental to me, because it is about the expansion of things like the universe. This is the problem; I can't understand how to make lines of equal lengths to all directions from a central point. I...
5. ### Central limit theorem question

Times spent on processing orders are independent random variables with mean 1.5 minutes and standard deviation 1 minute. Let n be the number of orders an operator is scheduled to process in 2 hours. Use the CLT to find the largest value of n which give at least a 95% chance of completion in...
6. ### Central limit theorem to find the approximate distribution

I have a question, i don't understand how to use Central limit theorem to find the approximate distribution. The question is: A certain type of bathroom tile is sold in packs of 100 tiles. The distribution of the weights of individual tiles has mean 99 grams and standard deviation 5 grams...
7. ### Desperately need help with this central difference question

If anyone could do the attached question you would be saving my life
8. ### Central Difference Question

please can anyone do the attached question, you would be saving my life
9. ### Probability & Central Limit Theorem

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. Î¼xÌ„ = Î¼ = 12,749 Ïƒ = 1.2 n = 35 For the given sample n = 35, the probability of a sample mean being less than 12,749 or greater...
10. ### What formula would I use? The Central Limit Theorem

The mean number of students in an online statistics class is 30.25 with a standard deviation of 2.71. If you survey 36 sections, what is the probability of more then 32 students in a statistics class? The mean cost of a dinner at a Christmas party at Terry Hills (a local Oaisis restaurant)...
11. ### Hello from sunny Central Florida

Hi, I've been very interested in higher level mathematics for a long time. I'm basically going to be a self-taught Mathematician. While I do understand basic level Calculus using derivatives, I've decided to develop my mathematics foundation first by going back to H.S. Algebra I, working my way...
12. ### Factorials, central binomial coefficients and number factorization

Hi, I have this problem: It's very well know that if I have a number N = p*q, with p<q I can find the divisors of N in this way: I calculate sqrt(N)! and surely p is a divisor of sqrt(N)! but q is not, so I can do an euclidean algorithm between sqrt(N)! and N and I find p. What if...
13. ### Central binomial coefficients and factorials

Hi, if I have a central binomial coefficient, that is, (2n)!/(n!*n!) how can I find n! ? In general, is it possible to find a factorial from a central binomial coefficient? Thank you olmoelisa
14. ### Central limit Theorem with sample <30

From a population A which follows a normal distribution with mean = 100 and standard deviation Ïƒ = 5 we take a sample n = 16. From a population B which follows a normal distribution with mean = 102 and standard deviation Ïƒ = 10 we take a sample n= 25 Calculate the probability the mean of...
15. ### Central Finite Difference. Help! Urgent!

Need help with this! Urgently!
16. ### Central limit theorem

ok so I have problem from my stats homework and I am wondering if it is ok to assume poisson distribution on all my iid variables.... Here is the problem In a factory, it is assumed that the probability any individual item will be defective is 0.03. Each day, we select 50 items, and count...
17. ### Normal approximation and Central Limit Theorem

Hi, I have the following theorem of Central Limit Theorem: Z_n = \frac{\bar{X}_n - \mu}{\frac{\sigma}{\sqrt{n}}} I know that \bar{X}_n is the mean of all n outcomes of each n trials: \bar{X}_n = \frac{X_1 + X_2 + ... + X_n}{n} I know also that \mu is the mean or expectation of...
18. ### Proof of the Central Limit Theorem

The Central Limit Theorem says that \mathbb P \left( \frac{\sum \xi_i -n\mu}{\sqrt{n}\sigma} < x \right) \to \mathbb \Phi(x) The following proof is from one of the textbooks I found. Proof. The characteristic function of the random variable (\sum \xi_i -n\mu) / \sqrt{n}\sigma equals to...
19. ### Forward Time Central Space (FTCS) scheme

I wondered if anyone can help me with a question about the FTCS method for finding numerical solutions to PDEs. I have a fourth order PDE and I have created a recursion relation using finite differencing however, when I come to compute my mesh ratio (r) I am getting stuck. Essentially what I...
20. ### Central Limit Theorem, probability

I am playing a game and am trying to calculate the probability that I will win at 40,000 or more points total, if I play the game 1,000,000 times. The expected value for one game is zero and the variance in 20,000. To solve this, first I calculated the expected value and variance for 1...