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:

Date of Dissociation

The specific date on which a member's involvement in a partnership or entity ends.

Unlimited Liability

A legal structure where business owners' personal assets can be used to pay off the business's debts and liabilities.

General Partner

An owner of a partnership who has unlimited liability and is active in managing the business.

LLLP

Stands for Limited Liability Limited Partnership, a form of partnership that provides all its partners with limited liability protections.