please help wit hthe attached

On the set S = 10, 1, 2, 3, 4, 5, 6, 7, 8,9}, find a probability function such that P( {0, 1, 2}) = - 12' 1 P( {3,5}) = 12 P( {0, 1, 4, 6}) = 6 P(18}) = 0 and the events {0, 1, 4, 6} and {4, 6, 7, 8, 9} are independent. This function is not unique, you just need to find one that satisfies these conditions. P({0}) = P({1}) = P(12}) = P({3}) = P({4}) = P({5}) = P({6}) = P(17}) = P(18}) = 0For a real parameter a, consider the function f : R - R defined by f(x) = 8 if a is a non-negative integer f(a) = 0 otherwise. Find a value of a for which this function is a probability mass function. A parameter a for which f(a) is a probability mass function is 8