Which of the Following Random Variables Is Geometric

question 7

Multiple Choice

Which of the following random variables is geometric?

• A) the number of phone calls received in a one-hour period
• B) the number of cards I need to deal from a deck of 52 cards that has been thoroughly shuffled so that at least one of the cards is a heart
• C) the number of digits I will read beginning at a randomly selected starting point in a table of random digits until I find a 7
• D) all of the above
• E) none of the above

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Definitions:

FIFO Discipline

First In, First Out discipline; a method where the first item or person entering a system is the first to leave

Exponential Service Times

A statistical concept used in queueing theory where the times between arrivals of service requests follow an exponential probability distribution.

Arrival Rate

The frequency at which units, entities, or events arrive or occur over a specified period, often assessed in queuing theory and logistics.

Service Rate

The speed at which a service provider can deliver its service to customers.