A single sampling inspection scheme for large lot of mass-produced flanges states: From each lot take and inspect a random sample of 50. If 3 or more defectives, inspect the whole lot and remove all defectives, if less than 3 are found accept the lot without further inspection. a. Obtain the equation for Pa the probability that a lot containing a fraction p of defectives will be accepted, in terms of p. b. Evaluate Pa for p=0.01, 0.02, 0.03, 0.05, 0.07, 0.10, 0.15, 0.20, 0.30. Plot the operating characteristics and average outgoing quality curve. c. Estimate: (a) the producer’s Risk at p of 2% (b) the consumer’s Risk for p of 5%.

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A single sampling inspection scheme for large lot of mass-produced flanges states:
From each lot take and inspect a random sample of 50. If 3 or more defectives, inspect the whole lot and remove all defectives, if less than 3 are found accept the lot without further inspection.
a. Obtain the equation for Pa the probability that a lot containing a fraction p of defectives will be accepted, in terms of p.
b. Evaluate Pa for p=0.01, 0.02, 0.03, 0.05, 0.07, 0.10, 0.15, 0.20, 0.30. Plot
the operating characteristics and average outgoing quality curve.
c. Estimate: (a) the producer’s Risk at p of 2% (b) the consumer’s Risk for p
of 5%.

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