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Problem 1. Let X be a discrete random variable with values -2,0,1,5 urith pmf (a) Verify that the probabilities do define a pmf (probability mass function) ( b) Compute the mean of X , i.e., μ -E(X) (c) Compute the standard deviation of X, i.e., σ- Nar(X)

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Values -2,0,1,5 P(x 2) 1/8 P( x 0)-3/8 P(x 1) 2/8 P(x -5) -2/8 1) Verify 2p, 1 = 1/84 3184 2/84 2/8 2) Mean-E(x)-Σ xp --0.500.25 1.25 3) Variance-Σ x^2p-(mean)^2 - (1/8)*4 +0 (2/8)25 (2/8)-1 Variance 7-1 Variance 6 Standard deviation-σ-V6 σ 2.44

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