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Suppose that X is uniformly distributed on (0, 2), Y is uniformly di.pdf

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Suppose that X is uniformly distributed on (0, 2), Y is uniformly distributed on (0, 3), and X and Y are independent. Determine the distribution functions for the following random variables: a. X + Y b. X - Y c. XY d. X / Y Solution a) X + Y is uniformly distributed on (0, 5) b) X - Y is uniformly distributed on (-3, 2) c) XY is uniformly distributed on (0, 6) d) X / Y is uniformly distributed on (0, INF).

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Suppose that X is uniformly distributed on (0, 2), Y is uniformly distributed on (0, 3), and X and Y are independent. Determine the distribution functions for the following random variables: a. X + Y b. X - Y c. XY d. X / Y Solution a) X + Y is uniformly distributed on (0, 5) b) X - Y is uniformly distributed on (-3, 2) c) XY is uniformly distributed on (0, 6) d) X / Y is uniformly distributed on (0, INF)

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Suppose that X is uniformly distributed on (0, 2), Y is uniformly di.pdf

  • 1. Suppose that X is uniformly distributed on (0, 2), Y is uniformly distributed on (0, 3), and X and Y are independent. Determine the distribution functions for the following random variables: a. X + Y b. X - Y c. XY d. X / Y Solution a) X + Y is uniformly distributed on (0, 5) b) X - Y is uniformly distributed on (-3, 2) c) XY is uniformly distributed on (0, 6) d) X / Y is uniformly distributed on (0, INF)