Shirts produced in a factory are sent to the sales unit in batches of 500 units. The operation of the acceptance sampling plan used can be summarized as follows; If at most 1 of 10 randomly selected shirts is wrong, the party is accepted. If more than 4 are wrong, the party is rejected. Otherwise, 25 shirts are selected for the second sample, if the total number of defective shirts in two samples is at most 4, the batch is accepted. The defective product rate of the lots is 0.16. a)Calculate the probability that the lot will be accepted in the first example. b)Calculate the probability of the lot being rejected in the first example. c)List alternatives that may occur for the party to be accepted. (For which values of d1 and d2 can a party be accepted?)
Shirts produced in a factory are sent to the sales unit in batches of 500 units. The operation of the acceptance sampling plan used can be summarized as follows; If at most 1 of 10 randomly selected shirts is wrong, the party is accepted. If more than 4 are wrong, the party is rejected. Otherwise, 25 shirts are selected for the second sample, if the total number of defective shirts in two samples is at most 4, the batch is accepted. The defective product rate of the lots is 0.16.
a)Calculate the probability that the lot will be accepted in the first example.
b)Calculate the probability of the lot being rejected in the first example.
c)List alternatives that may occur for the party to be accepted. (For which values of d1 and d2 can a party be accepted?)
d)Calculate the acceptance probability of the lot.
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