The Department of Transportation (D

question 8

Essay

The Department of Transportation (D.O.T.) in a very large city has organized a new
system of bus transportation. In an advertising campaign, citizens are encouraged to
use the new "GO-D.O.T!" system. Suppose that at one of the bus stops the length of
time (in minutes) that a commuter must wait for a bus is a uniformly distributed
random variable, T. The possible values of T are 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:

Reticular Formation

A network of nerve pathways in the brainstem involved in consciousness and the regulation of sleep-wake cycles.

Selectively Attending

The process by which individuals focus on specific stimuli while ignoring others, allowing them to navigate and process information in a complex environment effectively.

Pons

The larger swelling above the medulla that relays information from the cortex to the cerebellum, and that plays a part in sleep, dreaming, left–right body coordination, and arousal.

Cerebellum

A region of the brain that plays a vital role in motor control, and it also contributes to coordination, precision, and accurate timing of movements.