Question: 4. Let X N E53130 = 1). Suppose we set Y as the value ofX + 1 rounded down: Y = [X + 1]. For

4. Let X N E53130 = 1). Suppose we set Y as the value ofX + 1 rounded down: Y = [X + 1]. For example, if X = 3.7, then Y = [3.7 + 1] = [4.7] = 4. a. Find P(Y = 2). (Hint: What range of X values lead to Y = 2?) b. Find P(Y = y) and state the support of Y. c. Using your result from part b, show that Y is a Geometric RV, Geom(p), and state what value p is. (This problem shows a nice connection between a CRV and a DRV!)

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