User Account

All Pages

Branching process with reproduction mean

Assignment Help Basic Statistics
Reference no: EM13985345

1. Consider a branching process with reproduction mean m 1. Suppose also, as before, that X(0) = 1.

(a) What is the probability of extinction?

(b) Determine the expected value of the total progeny.

(c) Now suppose that X(0) = k, where k is an integer ≥ 2. What are the answers to the questions in (a) and (b) now?

2. The following model can be used to describe the number of women (mothers and daughters) in a given area. The number of mothers is a random variable X ∈ Po(λ). Independently of the others, every mother gives birth to a Po(µ)-distributed number of daughters. Let Y be the total number of daughters and hence Z = X + Y be the total number of women in the area.

(a) Find the generating function of Z.

(b) Compute E Z and Var Z.

Reference no: EM13985345

Questions Cloud

Perform exploratory data analysis on creativitypre : Create two graphs-one for systolic and one for diastolic pressure. Each graph should clearly delineate the three groups - Perform exploratory data analysis on both the SystolicBP and DiastolicBP variables.
Determine the generating function : Consider a branching process with a Po(m)-distributed offspring. Let X(1) and X(2) be the number of individuals in generations 1 and 2, respectively. Determine the generating function of
Generation of a branching process : Let X(n) be the number of individuals in the nth generation of a branching process (X(0) = 1), and set Tn = 1 + X(1)+ · · · + X(n), that is, Tn equals the total progeny up to and including generation number n.
Compute direction of electric field inside velocity selector : From the information above, determine the direction of the electric field inside the velocity selector.(indicate it on the diagram).
Branching process with reproduction mean : 1. Consider a branching process with reproduction mean m 1. Suppose also, as before, that X(0) = 1.
How has the patient been affected by the changes : Consider the following questions as you write your article: What has changed over the last 20 years? Have the changes been positive or negative? How has the patient been affected by the changes
Determine the mass of the atom : From the information above, The electric field strength in the selector is 4.819 x 105 N/C. The atom passes straight through the selector without any deflection of its path. Determine the mass of the atom.
Problem regarding the galton-watson process : Let {X(n), n ≥ 0} be the usual Galton-Watson process, starting with X(0) = 1. Suppose, in addition, that immigration is allowed in the sense that in addition to the children born in generation n there are Zn indi- viduals immigrating, where {Zn, n ≥ ..
Design a tri-gneration system on aspen hysys : Design a tri-gneration system on ASPEN HYSYS - find the answers have to be shown power output from fuel cell and engine efficiency

Reviews

Write a Review

Basic Statistics Questions & Answers

  Suppositions for distribution of lifetimes of light bulbs

Assume that the random sample of 200 light bulbs has mean life of 635 hours and standard deviation of 48 hours. Before applying Empirical Rule, what suppositions requires to be made about distribution of lifetimes of light bulbs?

  Fairly dealt hands from a fair deck and why

Joe dealt 20 cards from a standard 52-card deck, and the number of red cards exceeded the number of black cards by 8. He reshuffled the cards and dealt 30 cards. This time, the number of red cards exceeded the number of black cards by 10. Dete..

  Let us say you took a random sample of n 216 numerical

recall that benfords law claims that numbers chosen from very large data files tend to have 1 as the first nonzero

  Determine how many tickets should be sold for a flight on

suppose that on average 3 of the purchasers of airline tickets do not appear for the departure of their flight.

  What is the probability of rolling 2 ones 1 two 4 threes 3

in the fictional dice game piracy a player begins a turn by rolling a handful of 13 fair independent six-sided

  Strong or weak correlation

What does  r 2  of .73 tell us? Is this a strong or weak correlation? How can you tell?

  Find standard deviation for sample data

Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data.

  Use the binomial table to find the probability of rejecting

a two-stage clinical trial is planned for for testing h0 p0.10 versus ha pgt0.10 where p is the proportion of

  Write a sentence describing a type i error for a hypothesis

1. graph the null hypothesis on a number line.2. determine whether the hypothesis test with the given null and

  State null-alternative hypotheses-testing recipe for low fat

You want to show an increase in buying and selling of single-family homes this year when compared with last year's rate.

  A what is the sensitivity of self reported smoking status b

as part of a studyinvestigators wanted to assess the accuracy of self reported smoking status. participants are asked

  Hamilton county judges try thousands of cases per year in

hamilton county judges try thousands of cases per year. in an overwhelming majority of the cases disposed the verdict

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd