0
51kviews
Fit a Poisson distribution to the following data

enter image description here

Mumbai University > COMPS > Sem 4 > Applied Mathematics 4

Marks : 08

Year : DEC 2015

1 Answer
3
7.7kviews

Fitting poisons distribution means finding expected frequencies of

X:0,1,2,3,4,5,6,7,8

Now mean =bixiBi=mBixi=500=Nm=986500=1.972

Poissons distribution of x is

P(X=x)=em×mxx!=e1.972×(1.972)xx!

Expected frequency =N×P(x)=500×e1.972×(1.972)xx!

Now putting X=0

we get P(X=0)=e1.972×10!=0.1392

Expected frequency N×P=500×0.1392=70

Similarly

When x=1,2,3,4,5,6,7,8

We get

B(x)=137,135,89,44,17,6,2,0 resp.

Poisson distribution

enter image description here

Please log in to add an answer.