c. Let Q = {a, b, c} and .7: = 29. Are there any probability measures P on (Q, .73) for which P ({a}) = 2P ({b})? If so, then, for each such probability measure P, give the values of P ({a}) , P ({b}) , and P ({c}) . Also, explain why those are all of the probability measures on (Q, .7) with the stated property. If not, write \"NONE,\" and explain why there are no such probability mea sures. Hint: Let a: = P ({0}) . d. Let Q = {1,2,3,...,10}, let .7: = 29, let G > 0, and let P be the unique probability measure on (9,?) such that Paw = 5 for each w E 9. Evaluate c, and nd the exact value of P (E) where E = {2, 3, 5, 7} . Your nal answer cannot have c in it, and it must be expressed as a fraction a / b of positive integers in simplest form (canceling out any factors which a and b have in common so you would list 1/3 not 4/ 12, for example)