Find the parameters of the binomial distribution

Reference no: EM131811627

Question: Let X₁ and X₂ be independent Poisson random variables with parameters λ₁ and λ₂.

a) Show that for every n > 1, the conditional distribution of X₁, given X₁ + X₂ = n, is binomial, and find the parameters of this binomial distribution,

b) The number of eggs laid by a certain kind of insect follows a Poisson distribution quite closely. It is known that two such insects have laid their eggs in a particular area. If the total number of eggs in the area is 150, what is the chance that the first insect laid at least 90eggs? (State your assumptions, and give approximate decimal answer.)

Reference no: EM131811627

Questions Cloud

Calculate the amount of total assets at january : The total assets of ZZ Inc. at January 1, 2002 amounted to $105,000. ZZ, Inc entered into the following transactions during January

Prepare the journal entry to record the sale of these bonds : Prepare the journal entry to record the sale of these bonds on January

Find the conditional probability : Let A1, .. .A20 be independent event each with probability 1/2. Let X be the number of events among the first 10 which occur and let Y be the number of events.

What will be the total tax of company a and company b : What will be the total tax of Company A and Company B? They have taxable income of $160,000 and $40,000 and are owned by the same individual.

Find the parameters of the binomial distribution : Show that for every n > 1, the conditional distribution of X1, given X1 + X2 = n, is binomial, and find the parameters of this binomial distribution.

Evaluate the milestones in the evolution of forensic science : Evaluate the milestones in the evolution of forensic science, and identify the three milestones you believe were major turning points supporting.

Describe how the symbol of the carp is used by yun wang : Describe how the symbol of the carp is used by Yun Wang (in the poem The Carp) to illustrate the pain and injustice of her father's imprisonment.

What is the conditional joint distribution : Conditioning independent Poisson variables on their sum. Let N, be independent Poisson variables with parameters ?i, Think of the N, as the number of Points.

Discuss about the general obligation and revenue bonds : Write a 1,050 word paper in which you analyze capital sources of public funding and debt.Include at least four academic sources in your paper.

User Account

All Pages