Q.2) (a) Show that the following function satisfies the properties of a joint probability mass function. 1/4 1/8 1/4 1/4 1/8 1 1.5 1.5 2.5 3 Determine the following. (b) The marginal probability distribution of the random variable X. (c) The conditional probability distribution of Y given that X-1.5. (d) Are X and Y independent? Support your answer by calculation.

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