need help plz

Problem 3: Conditional Independence Let A,B,C{0,1} be three binary random variables with the following joint probability distribution: a) By direct calculation, compute the marginal P(A,B) (recall that P(A,B) is represented by 4 numbers: P(A=0,B=0),P(A=0,B=1),P(A=1,B=0),P(A=1,B=1)). b) By direct calculation compute the marginals P(A) and P(B). c) Are the random variables A and B independent? Why or why not? d) Compute the conditional distribution P(A,BC). Note that this includes computing P(A,BC=0) as well as P(A,BC=1), each of which is represented by 4 numbers (in total 8 numbers). e) Calculate P(A=0,B=0C=1) as well as P(A=0C=1)P(B=0C=1). Are A and B conditionally independent given C ? Why or why not? Problem 3: Conditional Independence Let A,B,C{0,1} be three binary random variables with the following joint probability distribution: a) By direct calculation, compute the marginal P(A,B) (recall that P(A,B) is represented by 4 numbers: P(A=0,B=0),P(A=0,B=1),P(A=1,B=0),P(A=1,B=1)). b) By direct calculation compute the marginals P(A) and P(B). c) Are the random variables A and B independent? Why or why not? d) Compute the conditional distribution P(A,BC). Note that this includes computing P(A,BC=0) as well as P(A,BC=1), each of which is represented by 4 numbers (in total 8 numbers). e) Calculate P(A=0,B=0C=1) as well as P(A=0C=1)P(B=0C=1). Are A and B conditionally independent given C ? Why or why not