Question: Please help with this question, step by step. (5 points) Roll repeatedly a pair of fair dice until we see either a sum of 4

Please help with this question, step by step.

(5 points) Roll repeatedly a pair of fair dice until we see either a sum of 4 or a sum of 7. Let N be the random number of rolls needed. Let X be the sum of the two dice of the Nth roll, that is, X = 4 or X = 7. (a) Find the probability mass function of X. (b) Find E[XN]

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