The textile factory buys the buttons used in production in boxes of 500 buttons each. According to the admission acceptance sampling plan used; The first sample consisting of 12 buttons is randomly selected, if maximum 1 defective button comes out, the party is accepted, and if more than 4 defective buttons appear, the party is rejected. Otherwise, the second sample consisting of 25 buttons is selected, if the total number of defects in two samples is at most 4, the batch is accepted. Defective product rate of incoming lots is 0.08 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.
The textile factory buys the buttons used in production in boxes of 500 buttons each. According to the admission acceptance sampling plan used; The first sample consisting of 12 buttons is randomly selected, if maximum 1 defective button comes out, the party is accepted, and if more than 4 defective buttons appear, the party is rejected. Otherwise, the second sample consisting of 25 buttons is selected, if the total number of defects in two samples is at most 4, the batch is accepted. Defective product rate of incoming lots is 0.08
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.
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