A poultry inspector visually examines (VE) slaughtered chickens on a processing line in a plant Birds that exhibit some visual marks are examined further based on a detailed examination (DE) protocol A sample of 1000 birds has the following pass (P) and fail (F) results Determine the joint probability mass function and the marginal probability mass functions of VE and DE Are the random variables statistically uncorrelated Why How effective is the visual inspection VE Visual Examination P F P 960 5 DE Detailed F 10 25 Examination

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Question: A poultry inspector visually examines (VE) slaughtered chickens on a processing line in a plant. Birds that exhibit some visual marks are examined further based

A poultry inspector visually examines (VE) slaughtered chickens on a processing line in a plant.

Birds that exhibit some visual marks are examined further based on a detailed examination (DE)

protocol. A sample of 1000 birds has the following pass (P) and fail (F) results: VE = Visual Examination P F P 960 5 DE=Detailed F 10

Determine the joint probability mass function and the marginal probability mass functions of VE and DE. Are the random variables statistically uncorrelated? Why? How effective is the visual inspection?

VE = Visual Examination P F P 960 5 DE=Detailed F 10 25 Examination

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