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
Mauchly test is a test which a variance-covariance matrix of pair wise differences of responses in the set of longitudinal data is the scalar multiple of identity matrix, a proper

Principal components regression analysis is a process often taken in use to overcome the problem of multicollinearity in the regression, when simply deleting a number of the expla

A metal fabrication process uses a die-cast metal fastener at a uniform rate of 300 units per year. Currently, this item is currently purchased from an external supplier at a unit

Human capital model : The model for evaluating the economic implication of the disease in terms of the economic loss of a person succumbing to morbidity or the mortality at some pa

Window estimates is a term which occurs in the context of the both frequency domain and time domain estimation for the time series. In the previous it generally applies to weights

Isobologram  is a diagram used to characterize the interactions among jointly administered drugs or the chemicals. The contour of the constant response (that is the isobole), which

Non linear mapping (NLM ) is a technique for obtaining a low-dimensional representation of the set of multivariate data, which operates by minimizing a function of the differences


sfdgfdg

The transformation of the Pearson's product moment correlation coefficient, r, can be given by   The statistic z has the normal distribution with mean   here ρ is the pop