Due to Turnover and Promotion, a Bank Manager Knows That

question 26

Short Answer

Due to turnover and promotion, a bank manager knows that, on average, she hires four new tellers per year. Suppose the number of tellers she hires is Poisson distributed.
A) What is the probability that in a given year, the manager hires exactly five new tellers?
B) What is the average number of tellers the manager hires in a six-month period?
C) What is the probability that the manager hires at least one new teller in a given six-month period?

• A) What is the probability that in a given year, the manager hires exactly five new tellers?
• B) What is the average number of tellers the manager hires in a six-month period?
• C) What is the probability that the manager hires at least one new teller in a given six-month period?

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Definitions:

Senate Tie

A situation where there is an equal number of votes for and against a measure in the U.S. Senate, often broken by the vote of the Vice President.

Twenty-Fifth Amendment

An amendment to the U.S. Constitution that provides procedures for dealing with presidential disability and succession.

Presidential Vacancies

Situations where the office of the President becomes temporarily unoccupied due to death, resignation, or removal.

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Powers that are not explicitly stated in the Constitution but are deemed necessary for the federal government to effectively fulfill its duties.