Problem 7. The CDF of the random variable X is given by: 0, x < -3...
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Problem 7. The CDF of the random variable X is given by: 0, x < -3 Fx (x) = 0.75, 5 + x x +3 8 0.25, , -3x1 1 x 0 - 0 < x <1 1 < x <3 , 8 1, x 3 (a) Plot the cdf. (b) Find P[X-2], P[X=0], P[-1 1], P[X0]. (c) Plot the pdf. (d) Find the mean and variance of X. Problem 7. The CDF of the random variable X is given by: 0, x < -3 Fx (x) = 0.75, 5 + x x +3 8 0.25, , -3x1 1 x 0 - 0 < x <1 1 < x <3 , 8 1, x 3 (a) Plot the cdf. (b) Find P[X-2], P[X=0], P[-1 1], P[X0]. (c) Plot the pdf. (d) Find the mean and variance of X.
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