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.
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??