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The joint probability function of two random variables X and Y is given....

Hi Guys, Im new on here and I need some help. I have been asked this question and i have no idea where to start. Any help would be appreciated.

The joint probability function of two random variables X and Y is given by the following table:

Question 1 : Find the marginal probability function for X.(a) -1, (b) 0, (c) 1.

Question 2 : Find the marginal probability function for Y.(a) -1, (b) 0, (c) 1.

Question 3 : What is the conditional probability that X=1 given that Y=0?

Question 4 : Calculate the mean and variance of X.

Question 5 : Calculate the mean and variance of Y.

Question 6 : Calculate the covariance between X and Y.

Question 7 : Find the correlation between X and Y.

Question 8 : Are X and Y independent?

Thanks!