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
A directed graph is simple if each ordered pair of vertices is the head and tail of at most one edge; one loop may be present at each vertex. For each n ≥ 1, prove or disprove the

Regression discontinuity design is the quasi-experimental design in which participants in, for instance, an intervention study, are assigned to the treatment and control groups on

Standardise the following arguments, which involve counter-arguments Some educators have argued that the increasing use of the internet by children and teenagers will have a be

The graph for Partial Autocorrelation Function for RES1 shows that there is no autocorrelation even though there are alternating spikes because they fall inside the 5% significance

Last observation carried forward is a technique for replacing the observations of the patients who drop out of the clinical trial carried out over a time period. It consists of su

The measure of the degree to which the particular model differs from the saturated model for the data set. Explicitly in terms of the likelihoods of the two models can be defined a

stationary time series

Paul Jordan has just been hired as a management analyst at Digital Cell Phone Inc. Digital Cell manufactures a broad line of phones for the consumer market. Paul's boss, John Smith

Misspecification  is the term is applied to describe the assumed statistical models which are incorrect for one of the several of reasons, for instance, using the wrong probability

Randomized response technique : The procedure for collecting the information on sensitive issues by means of the survey, in which an element of chance is introduced as to what quer