A factory that produces parts for the aviation industry sells in lots of 300 units each. The acceptance sampling plan used in the factory works as follows: The first sample of 9 units is taken, in this example, if no defective unit is found, the batch is accepted, if more than 3 defective units are found, the batch is rejected. Otherwise, a second sample of 19 units is taken, if the total number of defects in two samples is at most 3, the batch is accepted. Answer the following questions, assuming that the defective product ratio of batches is 0.03 a)Calculate the probability of accepting the lot examined in the first example.
A factory that produces parts for the aviation industry sells in lots of 300 units each. The acceptance sampling plan used in the factory works as follows: The first sample of 9 units is taken, in this example, if no defective unit is found, the batch is accepted, if more than 3 defective units are found, the batch is rejected. Otherwise, a second sample of 19 units is taken, if the total number of defects in two samples is at most 3, the batch is accepted. Answer the following questions, assuming that the defective product ratio of batches is 0.03
a)Calculate the probability of accepting the lot examined in the first example.
b)Calculate the probability of rejecting the analyzed lot in the first example.
c)List possible alternatives to be able to accept this party. (For which values of d1 and d2 can a party be accepted?)
d)Calculate the acceptance probability of the lot.
e)
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