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The uniform distribution is a rectangular shaped distribution. It
is a rectangle that has a base 200-30 = 170 seconds long and an area
of 1, which represents a probability of 1 that they will wait no less
than 30 seconds nor more than 200 seconds.
A = b·h
1 = 170·h
1/170 = h
Think of it as this rectangle
______________________
|______________________| height = 1/170 units
base = 170 seconds
The probability that a rider must wait between 1 minute and 1.5 minutes
is just a slice of this rectangle whose base is between 1 minute and
1.5 minutes which is 1.5-1 = .5 minutes or 30 seconds.
Such a slice might look like this:
__
|__| height = 1/170 units
base = 30 seconds
The area of this slice would be base·height = 30·(1/170) = .1765
Edwin
