Relation of poisson and binomial distribution

Reference no: EM13103459

If X and Y are two independent Poisson random variables, then show that the conditional distribution of X given X+Y is binomial.

Reference no: EM13103459

Questions Cloud

Distribution as symmetric-left skewed-right skewed : a) How is it possible that the minimum of the 365 values is 0 inches and the median is also 0 inches? b) Describe the distribution as symmetric, left-skewed or right-skewed.

What are the tax significances : Sally as well as bill are married and file joint returns. In 1010, Bill, an accountant has a salary of $75,000 and Sally receives salary of $25,000 as an apartment manager. What are the tax significances of the following benefits that Bill and Sal..

Normal approximation to binomial variable : Nathan wants to approximate a binomial probability by normal curve areas. The number of trials is 50 and the probability of success for each trial is 0.95

What is the percent change in the pressure of the gas : The rms speed of a sample of gas is increased by 3 percent. What is the percent change in the temperature of the gas? What is the percent change in the pressure of the gas, assuming its volume is held constant?

Relation of poisson and binomial distribution : If X and Y are two independent Poisson random variables, then show that the conditional distribution of X given X+Y is binomial.

Company manufacture a quality line of home kitchen appliance : You've just learned that your primary competitor has just cut their prices to the consumer by 7%. Illustrate what might be some reasons that would support their decision to make a price reduction? Illustrate what should be your thoughtful reaction..

What is the final temperature of the gas : A mass rests on top of the piston. The initial temperature of the system is 305 K and the pressure of the gas is held constant at 137 kPa. The temperature is now increased until the height of the piston rises from 23.4 cm to 27.0 cm. What is the f..

The roommate problem and intern assignment problem : Implementation of both the algorithms using C/C++ code 1. roommates problem 2. Intern Problem

Word problem for probability ratio : Suppose Napoleon were using Bayes' theorm to revise his information. To do so, he would have had to make some judgements about P(Prussian and English Join forces |Napoleon Wins) and P(Prussian and English Join forces |Napoleon loses).

User Account

All Pages