Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. let x1, x2, . . . be a sequence of independent and

Let X1, X2, . . . be a sequence of independent and identically distributed random variables...

90.2K

Verified Solution

Question

Basic Math

Let X1, X2, . . . be a sequence of independent and identicallydistributed random variables where the distribution is given by theso-called zero-truncated Poisson distribution with probability massfunction; P(X = x) = λx/ (x!(eλ − 1)), x = 1, 2,3...

Let N ∼ Binomial(n, 1−e^−λ ) be another random variable that isindependent of the Xi ’s.

1) Show that Y = X1+X2 + ... + XN has a Poisson distributionwith mean nλ.

Answer & Explanation Solved by verified expert
4.0 Ratings (560 Votes)
Let X1 X2 XN be a sequence of independent and identicallydistributed random variables where the distribution is given by thesocalled zerotruncated Poisson distribution with    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

PROOF PUZZLE CUT OUT STATEMENTS AND AND SEE IF YOU CAN ARRANGE THEM TO DEVELOP...

Geometry
Q

In his essay Common Sense what does Paine suggest that America can build O Universities...

Biology
Q

The collector plate in an experiment on photoelectric effect is kept vertically above the emitter...

Physics
Q

A ring a solid sphere and a thin disc of different masses rotate with same...

Physics
Q

Jenny applied for an $8,000 home improvement loan, which she will start paying back after...

Basic Math
Q

Many large farms use center pivot irrigation which involves a sprinkler rotating around a central...

Basic Math
Q

A common inhabitant of human intestines is the bacterium Escherichia coli, named after the German...

Calculus
Q

Suppose that the functions fand g are defined as follows Find f x x x...

Calculus
Q

can you tell me how to get the net operating income from the given? what...

Accounting
Q

In 2023, Campbell, a single taxpayer, has $400,000 of profits (net of the deduction for...

Accounting
Q

Joseph works in the accounting department of a local footwear manufacturer that specializes in clogs...

Accounting
Q

Thermo Fisher (Fisher) is considering an acquisition of Life Technologies (Life Tech). Life Tech shares...

Finance