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...