1. Use the information obtained in to find an estimator for a2, the variance of a gamma random variable. Is the estimator obtained unbiased for all?
2. An acid solution made by mixing a powder compound with water is used to etch aluminum. The pH of the solution, X, will vary due to slight variations in the amount of water used, the potency of the dry compound, and the pH of the water itself. Assume that X is gamma distributed with a and /3 unknown. From these data. estimate a, /3, it, and a2 using the method of moments:
