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:

Nth Partial Sum

The sum of the first 'n' terms in a sequence, used in series calculations.

Geometric Sequence

A sequence in which each number following the first is generated by multiplying the former number by a fixed, nonzero factor, this factor is identified as the common ratio.

Partial Sum

The sum of a portion of a sequence of terms, or a method of summing certain numbers by grouping.

N Th

Referring to an unspecified member of a series or set.