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Clients of two firms arrive as independent Poisson processes, and a fraction of each firm's clients leave an outstanding review. What is the expected time between outstanding reviews?

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Clients arrive at two firms as independent Poisson processes with rates 6 and 10. Independently, a client of the first firm leaves an outstanding review with probability 1/6 and of the second with probability 1/5; such clients get a thank-you card. What is the expected time between thank-you cards?

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