We would like to choose the gamma prior distribution parameters such that the prior mean is (B+10)/100, where B is the second-to-last digit of your ID number, and the prior coefficient of variation (standard deviation divided by the mean) is 0.5. Find the values of a and 3 that are needed. The data are y = (2,7,5, 3,C +1), where C is the last digit of your ID number, with n = 5. Set k = 2. (i) What is the MLEA? (ii) Using the prior distribution from part (c), what are the parameters of the posterior distribution for n? (iii) What are the posterior mean and standard deviation for n?

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