please help me with solving this 3 dimension probability problem

Define (x, y, 0) ~ P (x, y, 0) as follows: 0 ~ Unif {0.1 , 0.9} (x , y) 10 ~ Ber (x | 0) Ber (y | 0) Where Ber (. | 0) is the p.m.f. for a Bernoulli random variable which takes the value 1 or 0 with probability 0, (1 - 0) respectively. (e) What is the marginal distribution of a? O Ber(3/4) O Ber(1/2) Ber(1/10) O Ber(1/4)Define (x, y, 0) ~ P (x, y, 0) as follows: 0 ~ Unif {0.1 , 0.9} (x , y) 10 ~ Ber (x | 0) Ber (y | 0) Where Ber (. | 0) is the p.m.f. for a Bernoulli random variable which takes the value 1 or O with probability 0, (1 - 0) respectively. (f) Is the marginal distribution of a the same as the marginal distribution of y? True O FalseDefine (x, y, 0) ~ P (x, y, 0) as follows: 0 ~ Unif {0.1 , 0.9} (x , y) 10 ~ Ber (x | 0) Ber (y | 0) Where Ber (. | 0) is the p.m.f. for a Bernoulli random variable which takes the value 1 or O with probability 0, (1 - 0) respectively. (h) What is the correlation between a and y? (enter answer in decimal form, e.g. 0.56)Define (x, y, 0) ~ P(x, y, 0) as follows: 0 ~ Unif {0.1, 0.9} (x , y) 10 ~ Ber (x | 0) Ber (y | 0) Where Ber (. | 0) is the p.m.f. for a Bernoulli random variable which takes the value 1 or O with probability 0, (1 - 0) respectively. (g) True or False: The joint distribution of (x, y) is equal to the joint distribution of (y, a). O True False