Banach''s match-box problem, Advanced Statistics

Banach's match-box problem: The person carries two boxes of matches, one in his left and one in his right pocket. At first they comprise N number of matches each. When the person wants a match, a pocket is chosen at random, the successive choices therefore constituting Bernoulli trials with p = ½. On the ?rst occasion which the person ?nds that the box is empty the other box might contain 0; 1; 2; ... ;N matches. Then the probability distribution of the number of matches, R, left in the other box can be given as:


112_banach match box problem.png 

So, for instance, for N = 50 the probability of there being no more than 10 matches in the second box is given by 0.754

 

 

Posted Date: 7/26/2012 5:05:19 AM | Location : United States







Related Discussions:- Banach''s match-box problem, Assignment Help, Ask Question on Banach''s match-box problem, Get Answer, Expert's Help, Banach''s match-box problem Discussions

Write discussion on Banach''s match-box problem
Your posts are moderated
Related Questions
3. a. A researcher in Hong Kong computes the correlation between the percentage of employee turnover and the local unemployment rate (also expressed as a percentage) over a 20-mont

Response feature analysis is the approach to the analysis of longitudinal data including the calculation of the suitable summary measures from the set of repeated measures on each

Correlation matrix : A square, symmetric matrix with the rows and columns corresponding to the variables, in which the non diagonal elements are correlations between the pairs of t

#how to analyse data

The skewness is a measure of asymmetry and as it is positive at 4.29, it is greater than zero which reveals that the tail extends to the right indicating the distribution to be mor

Poisson regression In case of Poisson regression we use ηi = g(µi) = log(µi) and a variance V ar(Yi) = φµi. The case φ = 1 corresponds to standard Poisson model. Poisson regre


Recursive models are the statistical models in which the causality flows in one direction, that is models which include only unidirectional effects. Such type of models do not inc

what are all the organs

It is the survey which is carried out in Great Britain on a continuous basis since 1971. About 100 000 households are included in this sample every year. The main goal of the surve