Please answer question 6 part b (d) What is the mean recurrence time of E.?e What is the interpretation of the mean recurrence time?Question 6(a) The pgf of a Poisson distribution with parameter A is given by, G(s) = ees]%3DUse the pgf to find the mean value and variance of the distribution.(b) The number of traffic accidents that occur in a city within a day has a Poisson distribution amean value of 2. Also the number of people injured in the different accidents is independentlydistributed and has a Poisson distribution with mean 3.0.(i) What is the probability of getting (1) two or more accidents in a given day (1I) 5 accidents ina 2- day period?(ii) What is the probability that there is a waiting time more than 1 day before the next accidentappears?(iii) Find the mean and the standard deviation of the total number of people injured in one givenday.Question 7(a) Explain the difference between a stochastic and a deterministic model.(b) The pgf of the Poisson process at timewith parameter A = 1 and initial population sizeN(0) = 2 is given by,G(s, t) = s?et(s-1)Use the pgf to find the mean and variance of the distribution at time't'(c) The differential equations governing the simple birth process (with the usual notations) are;Pn'(t) = -nà pn (t) + (n – 1)Apn-1(t),n21(i)Po'(t) = 0,n = 0(ii)Use the equation to work out the mean of the distribution using the initial conditionN(0) = a > 0.

Name: Please answer question 6 part b (d) What is the mean recurrence time o
Uploaded: 2024-03-05T11:53:49.000Z
Channel: Bartleby
Description: Please answer question 6 part b (d) What is the mean recurrence time of E.?e What is the interpretation of the mean recurrence time?Question 6(a) The pgf of a Poisson distribution with parameter A is given by, G(s) = ees]%3DUse the pgf to find the me