Problem 7. In this problem we explore another approach to parameter estimation, called the method of moments. The basic idea of the method of moments is explained in Section 9.2 of All of Statistics. In this problem we apply the method of moments to estimation of the parameters of a beta distribution. The beta distribution Beta(o, ) with left parameter o > 0 and right parameter B > 0 has pdf: g(=) - B(a, B) " 1(1-) , 0