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Answer to Question #334007 in Statistics and Probability for Dinor123

Question #334007

A3. Suppose that the life span in months of a lead bulb is a random variable and let Y1 and Y2 denote the life span of two different types of lead bulbs produced by different companies. If Y1 and Y2 are independent exponentially distributed random variables, both with mean β and let X1 = Y1/Y1 + Y2 and X2 = Y1 + Y2. Find and identify the marginal distributions of X1 and X2

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