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Please help with the below question and include all details and steps for the solution: 4. Suppose that X follows an exponential distribution with E[X]

Please help with the below question and include all details and steps for the solution:

4. Suppose that X follows an exponential distribution with E[X] = 200. There is an ordinary deductible imposed of size d = 50. Find the density function for Y and compute E[Y]

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