Question

For a double-sampling plan with n1= 75 c1= 2 n2= 110 c2= 6 a. Draw the OC curves (Probability of acceptance on first sample, Probability of acceptance on combined samples, Probability of rejection on first sample) (You must use a scatter plot)

b. If the incoming lots have fraction nonconforming p= 0,07 "

b.1. What is the probability of acceptance on the first sample? "

b.2. What is the probability of final acceptance?

b.3. Calculate the probability of rejection on the first sample.

Answer 1

The probability of acceptance on the first sample = 0.10511

	5.25	mean rate of occurrence
		cumulative
X	P(X)	probability
0	0.00525	0.00525
1	0.02755	0.03280
2	0.07232	0.10511

The probability of final acceptance = 0.00394

	7.7	mean rate of occurrence
		cumulative
X	P(X)	probability
0	0.00045	0.00045
1	0.00349	0.00394

The probability of rejection on the first sample = 1 - 0.10511 = 0.89489