Question: Don't copy anyone else work 5. (8 pts) On one street, a drivers speed just before an accident is uniformly distributed on [15, 25]. Given

Don't copy anyone else work

5. (8 pts) On one street, a drivers speed just before an accident is uniformly distributed on [15, 25]. Given the speed, the resulting loss from the accident is exponentially distributed with mean of 1.25 times the speed. Calculate the variance of a loss due to an accident on that street. 6. (20 pts) The probability density function of a random variable X is f( ) _ 2.5 k 5 a: 4|X 3 2). e) What is E [X] and Var[X]? 5. (8 pts) On one street, a drivers speed just before an accident is uniformly distributed on [15, 25]. Given the speed, the resulting loss from the accident is exponentially distributed with mean of 1.25 times the speed. Calculate the variance of a loss due to an accident on that street. 6. (20 pts) The probability density function of a random variable X is 2.5 km 4|X 2 2). e) What is E [X] and Var[X]

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