Question: Define the mean, median, mode, and .10 and .90 quantiles of the random variable (X) defined in the probability models ({R(X), f(x)}) below: (a) f(x)

Define the mean, median, mode, and .10 and .90 quantiles of the random variable \(X\) defined in the probability models \(\{R(X), f(x)\}\) below:

(a) f(x) = x + 4 50 (b) f(x) = .5e */1(R(x)}

(a) f(x) = x + 4 50 (b) f(x) = .5e */1(R(x)} (x), R(X) = [0, ) (c) f(x) = 3xI(R(x)} (x), R(X) = [0, 1] (d) f(x) = .05 (95)*-1{R(x)} (x), R(X) = {1,2,3,...} -I{R(X)) (X), R(X) = {0, 1,2,3,4}

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