Question

Suppose that a poultry inspector in interested in estimating the percentage of packages of fresh chicken breasts being processed by a certain processing plant that are contaminated with salmonella with 90% confidence. He is willing to assume that the number of contaminated packages follows a binomial distribution.

1. (a) In the context of the problem, state the assumptions necessary for the binomial model to

   be valid. Briefly comment on whether realistically they might be satisfied in this

   problem.

Answer 1

As the inspector assuming binomial distribution ,we have following necessary assumptions

1. Number of packages to be examined by inspector is fixed , let say it is n

2. The probability of event that a package is contaminated is same for all n packages

3. Contamination of one package does not influence the probability of contamination of another package

The third assumptions might not hold good realistically if processing of packages is completely identical for all packages