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  3. problem 1 10 points assume that a random variable y...

Question: problem 1 10 points assume that a random variable y...

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Problem 1: 10 points Assume that a random variable, Y, has a geometric distribution, GEOM [], so that P[Y = 서 = (1-q)k . q, for k=0,1, , 1. Derive the probability that Y takes an odd value. 2. Given that Y takes the odd value, introduce Wand derive its probability mass function every m 0, 1, 2, ..., . 3. Show that W, given that Y takes an odd value, also has the geometric distribution 4. Evaluate the conditional expectation of W, given that Y is odd

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