Question: Arrivals to a bank automated teller machine (ATM) are distributed according to a Poisson distribution with a mean equal to three per 15 minutes. a.

Arrivals to a bank automated teller machine (ATM) are distributed according to a Poisson distribution with a mean equal to three per 15 minutes.
a. Determine the probability that in a given 15-minute segment, no customers will arrive at the ATM.
b. What is the probability that fewer than four customers will arrive in a 30-minute segment?

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