Question: 64. Each item produced will, independently, be defective with probability p. If the prior distribution on p is uniform on (0, 1), compute the posterior

64. Each item produced will, independently, be defective with probability p.

If the prior distribution on p is uniform on (0, 1), compute the posterior probability that p is less than .2 given

a. a total of 2 defectives out of a sample of size 10;

b. a total of 1 defective out of a sample of size 10;

c. a total of 10 defectives out of a sample of size 10.

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