SOLUTION: Eggs are packed into cartons of six. A sample of 90 cartons is randomly selected and the number of damaged eggs in each carton counted. Does the number of damaged eggs in a

Question 1205375: Eggs are packed into cartons of six. A sample of 90 cartons is randomly selected and the number of damaged eggs in each carton counted.

Does the number of damaged eggs in a carton follow a Binomial distribution?
Answer by ikleyn(52777) (Show Source): You can put this solution on YOUR website!
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Eggs are packed into cartons of six. A sample of 90 cartons is randomly selected
and the number of damaged eggs in each carton counted.
~~~~~~~~~~~~~~~~~~~~~

This problem in the post looks strange.

From one side, it says that the number of damaged eggs in each cartoon is counted.
From the other side, no numerical data in the post is given.

Does the number of damaged eggs in a carton follow a Binomial distribution?

Part of conditions to be binomial are satisfied:

    The number of trials is 90.

    The number of success (the number of damaged eggs in each box) is integer k,  0 <= k <= 6.

    The individual outcomes are Yes/No (= damaged - not damaged).

    The individual outcomes are independent (which is not stated in the post,
    but can be assumed based on the context and on the common sense).

However, the basic assumption that the probability of the individual success is a constant value
can not be supported without having some additional numerical data.

So, in my opinion, without additional numerical data, the problem's question can not be answered.

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