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2. (10 pts) The random variable X has a space of S = {1, 3, 5, 7). The associated pmf is given as P(X

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2. (10 pts) The random variable X has a space of S = {1, 3, 5, 7). The associated pmf is given as P(X = 1) 1/5, P(X = 3) 2c, P(X = 5)=3c, P(X = 7)=4c. Find (a) the constant c. (b) P(X

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