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?

Question

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The Answer of 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?