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Mathematics, 17.12.2019 00:31 rnv9d937

Our faucet is broken, and a plumber has been called. the arrival time of the plumber is uniformly distributed between 1pm and 7pm. the time required to fix the broken faucet is then exponentially distributed with mean 30 minutes.

supposing that the two times are independent, find the expected value and the variance of the time at which the plumber completes the project.

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