The probability distribution of a discrete random variable X is given below. Value x of X P(X=x) -1 0.26 0.18 1 0.15 0.29 3 0.12 Let Fy be the cumulative distribution function of X. Compute the following. (a) F (0) = 0.44 ? %3D (b) F (1) - F (-1) = 0.18 %3D

Q: If X is a random variable with probability distribution shown below, find E(X). x Pr[X-x] -2 0.1 0…

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A: Use the given information.

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Q: (a) Find the expectation E (X) of X. E (x) = | %3D (b) Find the variance Var(X) of X.

A: The E(X) is defined as E(X) = ∑x.P(X = x) And variance of X is  V(X) = E(X2) - (E(X))2

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Q: Fy be the cumulative di Fx (1) = 0 %3D F, (1) - F, (0) = D %3D Fx %3D 2

A: x p(x) F(X) -2 0.21 0.21 -1 0.28 0.49 0 0.2 0.69 1 0.15 0.84 2 0.16 1

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A: HERE GIVEN PROBABILITY FUNCTION SO HERE CUMULATIVE PROBABILITY = F(a) = P  (X<a)

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