Question

the drive time for a college student commuting between her dorm and her coop job is uniformly distributed between 20 and 45 minutes. the probability that she will get to work in 30 mins or less is

Answer 1

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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