SOLUTION: I don't understand how to set up the equation to figure this out, please help. A continuous random variable has a uniform distribution. Find the probability of the given event.

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Question 1183789: I don't understand how to set up the equation to figure this out, please help.
A continuous random variable has a uniform distribution. Find the probability of the given event.
A calculus professor plans classes so carefully that the length of his classes is uniformly distributed between 100.0 min. and 105.0 min. Let x be the random variable representing the length of his randomly selected class. Find the probability the class is less than 102 min.
Answer by ikleyn(52775) About Me  (Show Source):
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I don't understand how to set up the equation to figure this out, please help.
A continuous random variable has a uniform distribution. Find the probability of the given event.
A calculus professor plans classes so carefully that the length of his classes is uniformly distributed
between 100.0 min. and 105.0 min. Let x be the random variable representing the length
of his randomly selected class. Find the probability the class is less than 102 min.
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Take the time duration, which is over 100.0 minutes: it is  (102.0 min - 100.0 min) = 2.0 minutes,

and relate it to the duration of the basic time interval  (105.0 min - 100.0 min) = 5.0 minutes.


So, the ratio   2%2F5 = 0.4 = 40%  is the sough probability.


It is how the uniform probability distribution works.

Solved.