SOLUTION: 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 ti

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Question 1183790: 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.
Answer by ikleyn(52776) About Me  (Show Source):
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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  2%2F10 = 1%2F5 = 0.2 = 20%  is the sough probability.


It is how the uniform probability distribution works.

Solved.