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Mathematics, 31.03.2020 02:47 Anthonyc123
(25 pts) Consider a random variable X with density function f X (x) = x , 0 ≤ x ≤1 0, else ⎧ ⎨ ⎪ ⎩ ⎪ . a. (3) Carefully sketch by hand the density function f X (x) . Be sure to dimension both axes. b. (4) Find the mean and variance of X . c. (4) Suppose we generate a new random variable Y = Q(X) by quantizing X according to the following 3-level uniform quantizer: Q(x) = − 2 3 , −1≤ x < − 1 3 0, − 1 3 ≤ x < 1 3 2 3 , 1 3 ≤ x ≤1
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(25 pts) Consider a random variable X with density function f X (x) = x , 0 ≤ x ≤1 0, else ⎧ ⎨ ⎪ ⎩ ⎪...
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