Tom is working at a McDonald. The arrival rate of customers is 10 persons per hour and the number of customers every hour can be modeled as a Poisson random variable.

What is the probability that there are 25 customers arriving in three hours?

Today, Tom started working at 8:00 am in the morning. It is 8:10am now and no customer arrives yet. What is the probability that at least one customer will arrive by 8:30 am?

Please give me the solution with formulas, corresponding process and answer, not just instructions.

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