1. K

    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. T

    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. P

    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. J

    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. J

    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. T

    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. U

    Desperately need help with this central difference question

    If anyone could do the attached question you would be saving my life
  8. U

    Central Difference Question

    please can anyone do the attached question, you would be saving my life
  9. R

    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. μx̄ = μ = 12,749 σ = 1.2 n = 35 For the given sample n = 35, the probability of a sample mean being less than 12,749 or greater...
  10. A

    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. O

    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. O

    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. O

    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. A

    Central limit Theorem with sample <30

    From a population A which follows a normal distribution with mean = 100 and standard deviation σ = 5 we take a sample n = 16. From a population B which follows a normal distribution with mean = 102 and standard deviation σ = 10 we take a sample n= 25 Calculate the probability the mean of...
  15. J

    Central Finite Difference. Help! Urgent!

    Need help with this! Urgently!
  16. P

    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. C

    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. L

    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. H

    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. L

    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...