The number of orders arriving at a service facility can be modeled by a Poisson process with

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The number of orders arriving at a service facility can be modeled by a Poisson process with intensity λ = 10 orders per hour.

a. Find the probability that there are no orders between 10:30 and 11.

b. Find the probability that there are 3 orders between 10:30 and 11 and 7 orders between 11:30 and 12.

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