Poisson distribution, Applied Statistics

Assignment Help:

Poisson Distribution

The poisson Distribution  was discovered  by French mathematician simon  denis  poisson. It is a discrete probability distribution.

Meaning :

In binomial distribution if the value of is very large (n=) and the values of p is too small (p-0)  and np  is finite number, in this  situation the binomial  distribution is not suitable to be used. In  other words. The  poisson distribution  is  applicable where  the successful events in the total  events  are few.

Situations where poisson distribution is applicable

1.       Number of defective blades out of total blades produced in a factory .

2.      Number of goals scored at a football match, wherein number of attempts may be a lot of but the success  are few.

3.      Number of mistakes   found in the pages of a book published by a repute press.

4.       Number of telephone calls done during every  5 minutes  by a businessman.

5.      Number of typing errors per page in a typed   material.,

6.      No of accidents met by a taxi driver in a year.

7.      The arrival of customers arriving per hour at the super market.

8.      The arrival of trains arriving per10 minutes in the railway yard.

9.      Number of flying bombs per year in a small area.


Related Discussions:- Poisson distribution

Geometric mean, Geometric Mean is defined as the n th root of the ...

Geometric Mean is defined as the n th root of the product of numbers to be averaged. The geometric mean of numbers X 1 , X 2 , X 3 .....X n is given as

Probability and expectation, Ten balls are put in 6 slots at random.Then ex...

Ten balls are put in 6 slots at random.Then expected total number of balls in the two extreme slots

Time series, merits and demerits of methods to determin trends

merits and demerits of methods to determin trends

Determine the matrix of the transformation, Consider the linear transformat...

Consider the linear transformation (a) Find the image of (3 , -2 , 2) under T. (b) Does the vector (5, 3) belong to the range of T? (c) Determine the matrix of the transf

Regression constants, The regression line should be drawn on the scatter di...

The regression line should be drawn on the scatter diagram in such a way that when the squared values of the vertical distance from each plotted point to the line are added, the to

Confidence interval for a proportion, The quick method for a confidence int...

The quick method for a confidence interval for a proportion uses as an approximation for a 95% confidence interval.  The margin of error in this case is slightly larger tha

Scatter diagram - correlation analysis, Scatter Diagram The first step ...

Scatter Diagram The first step in correlation analysis is to visualize the relationship. For each unit of observation in correlation analysis there is a pair of numerical value

Expected utility maximizer, The investor has constant wealth 1 and is o?ere...

The investor has constant wealth 1 and is o?ered to invest in shares of a project that either gains 3=2 or loses 1 with equal probabilities. Therefore, if the investor obtains sha

Estimation error on apparent arbitrage, This question explores the effect o...

This question explores the effect of estimation error on apparent arbitrage opportunities in a controlled simulation setting. We simulate returns for N = 10 assets over T = 30 year

Write Your Message!

Captcha
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!

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