the drive time for a college student commuting between her dorm and her coop job is uniformly distributed between 20 and 45 minu

Question

1 year ago

15

tes. the probability that she will get to work in 30 mins or less is

1 answer:

dem82 [27] · Answer 1 · 2024-07-02T03:22:59+03:00

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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