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Arrivals to a Bank Automated Teller Machine (ATM) Are Distributed

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Arrivals to a bank automated teller machine (ATM) are distributed according to a Poisson distribution with a mean equal to three per 15 minutes. What is the probability that fewer than four customers will arrive in a 30-minute segment?


Definitions:

Duplication

The act of making an exact copy of something; in genetics, it refers to a type of mutation where segments of DNA are repeated.

Postal Money Order

A financial instrument, purchased from a postal authority, used to pay a specified amount of money to someone else.

Endorsement

The act of giving one's public approval or support to someone or something, or in financial terms, the signature on the back of a check that allows it to be deposited or cashed.

Subtle Gradations

Fine or slight differences or variations within a range or series of elements or aspects.

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