2. We are given the following the Bayesian network. Please answer the following questions. a. Write down the joint distribution as a factorization over this Bayesian network. b. Assuming each variable is discrete and can take n possible values, how many independent parameters are needed for this Bayesian network? c. Are the following independence statements true or false? i. AB ii. ABC iii. AB1 iv. ABG v. ABE vi. ABH vii. AH viii. AHJ ix. AHD,J x. D1 xi. BE xii. BEJ xiii. BE},H