The amount of time a person must wait for a bus is uniformly distributed between zero and 15 minutes, inclusive. What is the probability that a person waits fewer than 12.5 minutes?
Explanation
For a uniform distribution X ~ U(a, b), the probability P(x < k) for a < k < b is calculated as (k-a) * (1/(b-a)). In this case, a=0, b=15, and k=12.5, so the probability is (12.5 - 0) * (1/(15-0)) = 12.5/15.
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