Refer to picture below please

Problem 2.2 (10 points) Let X be a random variable with values in {0, 1} and let Y be a random variable with values in {0, 1, 2). Initially we have the following partial information about their joint probability mass function: 0 1 2 0 1/8 1/8 Subsequently we are provided with the following information: (i) Given X = 1, Y is uniformly distributed. (ii) pxy (0 0) = 2/3. (iii) [YX = 0] = 4/5. Use this additional information to fill in the missing values of the joint probability mass function table. Provide computations for your answers