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5. (15 points) Let X be a random variable with cumulative distribution function O x1 a. Find P(-1 5. (15 points) Let X be a

5. (15 points) Let X be a random variable with cumulative distribution function O x1 a. Find P(-1

5. (15 points) Let X be a random variable with cumulative distribution function 0 2 x 3x 1 a. Find P(-l < X < 1/3). b. Find the mean and variance of X. c. Find the probability density function of Y = a.

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