Integrated circuits from a certain factory pass a particular… Integrated circuits from a certain factory pass a particular quality test with probability 0.74. The outcomes of all tests are mutually independent.
(a) What is the expected number of tests necessary to find 680 acceptable circuits?(b) Use the central limit theorem to estimate the probability of finding at least 660 acceptable circuits in a batch of 858 circuits.
(c) Now use the central limit theorem to calculate the minimum batch size n for finding at least 660 acceptable circuits with probability 0.9 or greater.