(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

On average, each of the 18 hens in my henhouse lays 1 egg every 30 days. If I check the hens once per day and remove any eggs that have been laid, what is the average number, μ, of eggs that I find on my daily visits? What is the most probable (whole) number of eggs that I find on each visit? HINT: if in doubt sketch the distribution of P(N) in this case.

2. Relevant equations

[tex]P_{\mu}(N)=\frac{e^{-\mu}{\mu}N}{N!}[/tex]

3. The attempt at a solution

18 hens lay 1 egg every 30 days so average, [tex]\mu[/tex], is 0.6 eggs a day.

Number of occurences, N, is 1 as it is checked once a day.

so P_[tex]\mu[/tex](N) = 0.329 using the numbers given.

And the most probable whole number of eggs found on each visit is 0.

Is this correct??

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: A poisson distribution question

**Physics Forums | Science Articles, Homework Help, Discussion**