For problem 15-49, suppose that the engineer collects a second sample of 20 items and finds that 5 items are defective. Update the probability distribution of the population proportion you computed in problem 15-49 to incorporate the new information.
Problem 15-49
A quality control engineer believes that the proportion of defective items in a production process is a random variable with a probability distribution that is approximated as follows:
The engineer collects a random sample of items and finds that 5 out of the 16 items in the sample are defective. Find the engineer's posterior probability distribution of the proportion of defective items.