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Check in each case whether the given function can serve as the probability distribution of an...

Check in each case whether the given function can serve as the probability distribution of an appropriate random variable. (a) f(x) = (2 x)/4 for x = 0, 1, 2; (b) f(x) = x - 2/9 for x = 1, 2, 3, 4, 5, 6; (c) f(x) = x^2 - 6x + 9/10 for x = 1, 2, 3, 4, 5; (d) f(x) = x^2 - 6x + 8/5 for x = 1, 2, 3, 4, 5.

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