Question: Suppose X has a binomial distribution with parameters p and N where N has a Poisson distribution with mean A. What is the marginal distribution

Suppose X has a binomial distribution with parameters p and N where N has a Poisson distribution with mean A. What is the marginal distribution for X?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Probability And Stochastic Modeling Questions!

Exercises Chapter 2 2.1 Marginal and conditional probability: The social mobility data from Section 2.5 gives a joint probability distribution on (Y1 , Y2 )= (father's occupation, son's occupation)....

2.1 Marginal and conditional probability: The social mobility data from Sec- tion 2.5 gives a joint probability distribution on (Y1, Y2)= (father's oc- cupation, son's occupation). Using this joint...

COVER PAGE STAT 608 Homework 05 Summer 2017 Please TYPE your name and email address below, then convert to PDF and attach as the first page of your homework upload. NAME: EMAIL: HOMEWORK NUMBER:...

1.4. Suppose that X has a binomial distribution with parameters p = and N, where N is also random and follows a binomial distribution with parameters q = ; and M = 20. What is the mean of X?

For each given p, let X have a binomial distribution with parameters p and N. Suppose that p is uniformly distributed on the interval [0, 1]. What is the resulting distribution of X?

2.1.4 Suppose that X has a binomial distribution with parameters p D 1 2 and N, where N is also random and follows a binomial distribution with parameters q D 14 and M D 20. What is the mean of X?

3.2. For each given p, let Z have a binomial distribution with parameters p and N. Suppose that N is itself binomially distributed with parameters q and M. Formulate Z as a random sum and show that Z...

8. For the following scenarios (a) state which distribution you should use (Hypergeometric, Binomial, Negative Binomial, or Poisson), (b) define the random variable, and (c) state the parameter...

This is statistics course and s ampling and Central Limit lesson I need help with those questions. Thank you. And I attached formula sheet in case you need it for the references. \fII. Probability...

Under what circumstances must-revenue be recognized over the term of the contract?

How are we going to get there? Summarize the basic strategic and competitive approaches you intend (at least initially) to use. Describe each of the following: Which of the five competitive forces...

How many principles were used to develop the risk adjustment model

Server farms such as Google and Yahoo! provide enough compute capacity for the highest request rate of the day. Imagine that most of the time these servers operate at only 60% capacity. Assume...