Question: A random variable X has a discrete range Rd = {1, 2}, while its continuous range is the open interval (1, 2) with density f2(x)

A random variable X has a discrete range Rd = {1, 2}, while its continuous range is the open interval (1, 2) with density f2(x) = x∕6, 1 < x < 2.

If it is known that P(X = 1) = 2P(X = 2), then the probability P(X = 2) equals

(a) 1 8

(b) 3 8

(c) 1 4

(d) 1 6

(e) 1 12

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