In a Certain Very Large City, the Department of Transportation

question 9

Essay

In a certain very large city, the Department of Transportation (D.O.T.) has organized a complex system of bus transportation. In an advertising campaign, citizens are encouraged to use the new "GO-D.O.T!" system and head for the nearest bus stop to be transported to and from the central city. Suppose that at one of the bus stops the amount of time (in minutes) that a commuter must wait for a bus is a uniformly distributed random variable, T. The possible values of T run from 0 minutes to 20 minutes.
a) Sketch the probability distribution of T.
b) What is the probability that a randomly selected commuter will spend more than 7 minutes waiting for GO-D.O.T?

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Definitions:

Phonology

The study of how sounds are organized and used in natural languages.

Morphemes

Minimal meaningful units within the grammar of a language.

Unbeliever

A person who does not accept a particular faith, belief, or claim.

Privilege

Unearned advantages or rights granted to certain groups based on characteristics like race, gender, or socio-economic status.