A particle moves among n1 vertices which are situated on, Ask an Expert

Statistics

A particle moves among n+1 vertices which are situated on the circle in the following manner. At each step it moves one step either in the clockwise direction with the probability p or the counterclockwise direction with the probability q=1-p. Starting at the specified state, call it state 0, let T be the time of first return to state 0. Find out the probability that all states have been visited by time T.

Hint: Condition on the initial transition as well as then employ results from the gambler's ruin problem.

View complete question

Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91121255

Have any Question?Write your Review or question?

Related Questions in Statistics and Probability

The times that customers spend in a book store are normally

The times that customers spend in a book store are normally distributed with a mean of 39.5 minutes and a standard deviation of 15.9 minutes. A random sample of 25 customers has a mean of 36.1 minutes or less. Would this ...

A measurement of etch depth has standard deviation of 2 um

A measurement of etch depth has standard deviation of 2 um. The specifications are 150 to 200 um. If k = 6, what is the P/T ratio of the measurement? Please show the formula/steps taken to receive the answer.

One study based on responses from 1 013 randomly selected

One study, based on responses from 1, 013 randomly selected teenagers, concluded that 43% of teenagers cite grades that their greatest source of pressure. Use a 0.05 significance level to test the claim that fewer than h ...

1 three experiments investigating the relation between need

1. Three experiments investigating the relation between need for cognitive closure and persuasion were performed. Part of the study involved administering a "need for closure scale" to a group of students enrolled in an ...

Determine the sample size n needed to construct a 99

Determine the sample size n needed to construct a 99?% confidence interval to estimate the population mean when σ=24 and the margin of error equals 9.

A rainstorm in portland oregon wiped out the electricity

A rainstorm in Portland, Oregon, wiped out the electricity in 10% of the households in the city. Suppose that a random sample of 70 Portland households is taken after the rainstorm. Estimate the number of households in t ...

Diastolic blood pressures are approximately normally

Diastolic blood pressures are approximately normally distributed with a mean of 75 and a standard deviation of 10. If we consider samples of 20 patients, what is the 90th percentile of the mean diastolic blood pressure?

A nutritional scientist wishes to study the effect of

A nutritional scientist wishes to study the effect of storage time on the amount of vitamin C (milligrams) contained in 50 gram freeze dried fruit packs when stored for one, one and a half and 2 years. Five fruit packs w ...

Research research and sample 5000 household concerning tv

Research research and Sample 5000 household concerning TV shows they watch. Based on the sample 18% reported watching 60 Minutes. What is the 95% confidence interval for the proportion of all Americans that watch 60 minu ...

Let x be a random variable with range rx -1 0 1 and let px

Let X be a random variable with range RX = {-1, 0, 1} and let P(X = 1) = P(X = -1) = p/2 for some p ∈ [0, 1]. a) Compute P(X = 0). b) Compute the expectation E[X] and variance Var(X) of X as a function of p, and determin ...

4,153,160 Questions Asked
13,132 Experts
2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Recent Questions

Ask Statistics and Probability Expert