The number of people arriving at a coffee shop is a Poisson process with a rate of 2 per 10 minutes. (a) Find the probability that: i. Between 9 and 10 am no customers arrive. i. more than 5 customers arrive between 9 and 9:30 am. iii. two or less customers arrive between 10 and 10:30 am.

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The number of people arriving at a coffee shop is a Poisson process with a rate of 2 per
10 minutes.
(a)
Find the probability that:
i.
Between 9 and 10 am no customers arrive.
i.
more than 5 customers arrive between 9 and 9:30 am.
ii.
two or less customers arrive between 10 and 10:30 am.
Transcribed Image Text:The number of people arriving at a coffee shop is a Poisson process with a rate of 2 per 10 minutes. (a) Find the probability that: i. Between 9 and 10 am no customers arrive. i. more than 5 customers arrive between 9 and 9:30 am. ii. two or less customers arrive between 10 and 10:30 am.
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