The probability that a college student will get to work in 30 mins or less is 0.4 or 40%.
What does uniformly distributed probability mean?
Uniform distribution refers to a type of probability distribution in which all outcomes are equally likely to occur.
According to the given question:
Since the time is uniformly distributed, every possible travel time has the same likelihood of occurring.
Lower boundary (L) = 20 minutes
Upper boundary (U) = 45 minutes
The probability that a student finishes her trip in 30 minutes or less is:
P (t ≤ 30) = (30 - L)/(U - L)
= (30 - 20)/(45 - 20)
= 10/25
= 0.4 or 40%
The probability that she will get to work in 30 mins or less is 0.4 or 40%
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