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Let K be a random variable that takes, with equal probability 1/(2n+1), the integer values in...

Let K be a random variable that takes, with equal probability 1/(2n+1), the integer values in the interval [-n,n].
Find the PMF of the random variable Y = In X. Where X = a^[k]. and a is a positive number, let n = 7 and a = 2. Then what is E[Y ]?

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