Stats question re: the Poisson Distribution

Question

Assume that the Poisson distribution applies, and proceed to use the given mean to find the indicated probability.

If μ = 2, find P(3).
If μ = 0.3, find P(1).
If μ = 3/4, find P(3).
If μ = 1/6, find P(0).

Answer 1

Hi Adleine:

 

The formula for P(k) of the Poisson (mu) distribution is P(k) = exp(-mu) (mu)^k / k!.  You can easily calculate what you want for mu = 2 yourself rather than depend  on us tutors.  For other questions use the web-link

 

http://stattrek.com/online-calculator/poisson.aspx

 

wherein the "average rate of success" is your mu, and "Poisson random variable x" is your k.

 

For example, if mu = 3/4 = 0.75, P(3) = 0.0332.

 

You will get a bunch of other things too.

 

Dattaprabhakar ("Dr. G.")