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Mathematics, 24.06.2021 16:20 dorothybean

Let K be a discrete random variable that can take the values 1, 2, and 3, all with equal probability. Suppose that X takes values in [0, 1] and that for x in that interval we have fxIk^(x I k) = { 1, if k = 1,
2x, if k = 2,
3x, if k = 3.
Find the probability that K = 1, given that X = 1/2.

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