Q1) The table below shows the joint probability distribution of variables X and Y. X is the number of TVs sold and Y is the number of headphones sold Daily in a tech store. 1 2 3 0.30 0.18 0.12 0.15 0.09 0.06 0.05 0.03 0.02 a) Determine the marginal probability of X: i.e., P(X) b) Determine the marginal probability of Y: i.e., PCY) o) Are X and Y independent? Explain why. d) Find the conditional probability P(Y=2| X=1)