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Suppose the reaction time x (in minutes) of a certain chemical process follows a uniform
probability distribution with 5≤x≤15 . Find the probability that the given reaction time is less than 7 min.
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Take the time duration, which is over 5 minutes: it is (7 min - 5 min) = 2.0 minutes,
and relate it to the duration of the basic time interval of (15 min - 5 min) = 10 minutes.
So, the ratio
=
= 0.2 = 20% is the sough probability.
It is how the uniform probability distribution works.
Solved.