Derive analytical expression for oc curve as function of p

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Question: Consider the single sampling plan with n = 10 and c = 0.

a. Derive an analytical expression for the OC curve as a function of p.

b. Using the results of Problem, determine the value of p at which the AOQ curve is a maximum.

c. Using the results of parts (a) and (b), determine the maximum value of the average outgoing quality.

Problem: If defective items are replaced and N >>­­ n, show by differential calculus that the value of p for which AOQ(p) achieves its maximum value satisfies

dOC(p)  =  - OC(p)

  dp                p 

Reference no: EM131469763

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