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Q1. Arrival of customers to a local store may be modeled by a Poisson process with...

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Advance Math

Q1. Arrival of customers to a local store may be modeled by aPoisson process with an average of 1 arrival every 10 min period.Each customer on average stays for a time exponentially distributedwith mean 15 minutes. This is modeled as a birth-death process.

(i) What assumption is necessary for this process to be modeledas a birth-death process?

(ii) Compute the probability that the number of customers in thestore reaches 30, if we have 3 customers at the start.

Pls explain with workings. Thxs

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