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Let X and Y be independent random variables and distributed as Uniform distribution on the interval (0,2). (a) Using the transformation technique, obtain the

Let X and Y be independent random variables and distributed as Uniform distribution on the interval (0,2). (a) Using the transformation technique, obtain the joint probability density function of V and W Y. Y [ 14 marks (b) Obtain the probability density function of V. [6 marks (c) Examine whether V and W are independent. [2 marks

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