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Let x have a uniform distribution on the interval 0 to 10. Find the probability.
P(4 < x < 9)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
This given interval under the consideration, from 4 to 9, is entirely inside
the base interval from 0 to 10.
Therefore, the probability under the problem's question is the length
of the interval [4,9] related to the length of the base interval [0,10]
P =
=
=
= 0.5 = 50%. ANSWER
It is how the uniform distribution works.
Solved.