The Department of Transportation (D

question 49

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 12 minutes waiting for GO-D.O.T?

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Definitions:

Antigens

Substances that the body recognizes as foreign and that can provoke an immune response.

Infection

The invasion and multiplication of microorganisms such as bacteria, viruses, and parasites that are not normally present within the body.

Social Readjustment Rating Scale

A scale that measures the amount of stress in one's life caused by major life changes, helping to predict the risk of stress-induced illness.

Life-Stress Reactions

Psychological and physical responses to life stressors that can vary in intensity and duration, affecting an individual's coping mechanism and overall well-being.