Two editors are proofreading a same book. Suppose that Editor 1 have a probability p1 to detect each typo, independent of other typos; and Editor 2 have a probability p2 to detect each type, independent of other typos. Also assume that the two editors are independent from each other. We have the following results: 0 Editor 1 reports a numbers of typos. I Editor 2 reports b numbers of typos. o c numbers of types are identied by both editors. Calculate the method of moment estimator for (a) The total number 6 of typos in the book. (b) The number of typos not identied by any of the two editors