Explore BrainMass

# Binomial Distribution : Probabilities in Poisson Distribution

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Show that, as in the binomial distribution, the successive probabilities in a Poisson distribution increase to a maximum, then decrease towards zero. Under what circumstance is there a unique maximum probability?

Three partial solutions are attached.

© BrainMass Inc. brainmass.com October 5, 2022, 2:12 pm ad1c9bdddf
https://brainmass.com/math/probability/binomial-distribution-probabilities-poisson-distribution-34552

#### Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

1 Since for Poisson distribution, , and
, this tells us that .
If , , therefore the successive probabilities in a Poisson distribution increases, and as k increases to ...

#### Solution Summary

Probabilities in the Poisson distribution are investigated. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.

\$2.49