thank you for help

9. (10) Let (X, M) be the measurable space consisting of an uncountable set X and the or-algebra M of countable and co-countable sets. Consider the following two measures on (X,.M): __ 0 if E is countable; #103) -_ { 1 if E is col-countable; (1) __ 0 if E is countable; #203) '_ {co if E is co-countable. (2) For each measure space (X ,M,,u,-_) (3' = 1,2), explicitly nd the corresponding spaces (X,M*,,LL:|M) and (X, M, R) (see #8). Le, for 1' = 1,2, tell me (with proofs) exactly what the collection of nil-measurable sets M* is, what the corresponding collection W is (hint: it's the same for both measures!), and give formulas like (1) and (2) telling me how the #:5 and 54.3 act on those tar-algebras