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3. Let X be a random variable with the following density function |bt + b 1 < t < 0; fx (t) = bt

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3. Let X be a random variable with the following density function |bt + b 1 < t < 0; fx (t) = bt +b 0 t < 3 3 otherwise. (a) Find the value of the constant b. (b) Find the cdf of X. (c) Find P (- X 1) and P(-1 X 1 | X 0). 2 (d) Compute E (X) and Var (X).

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