Let X be a random variable with the following probability distribution. Value x of X P(X=x) 0.30 10 0.05 20 0.05 30 0.20 40 0.10 50 0.30 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation E (X) of X. ? E (x) = ] (b) Find the variance Var(X) of X. Var(x) = 0

Q: Let X be a random variable with the following probability distribution. Question table Value x of X…

A: E[X] = ∑xP(x)

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Q: F(x) = x < -1 = 0 F(x) = -1 ≤ x < 0 = .15 F(x) = 0 ≤ x < 2 = .3 F(x) = 2 ≤ x < 3 = .5 F(x) = 3 ≤…

A: Solution

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A: f(x) = c(x-x2)   a)We know that, ∫abf(x)dx = 1 ∫01c(x-x2)dx = 1 c(x22-x33)]01 = 1 c(12-13) = 1 c = 6…

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A: Expected value = E(X)

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