3. You are waiting for a bus at a bus stop. There are actually two buses that stop here. The one you want will arrive at a uniformly random time within the next 30 minutes. There is also a different bus, which will arrive at a uniformly random time within the next 60 minutes. Given that exactly one of the buses arrives within the next 5 minutes, what is the probability that it is the one you want? (Note: we want a conditional probability here-

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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3. You are waiting for a bus at a bus stop. There are actually two buses that stop here. The one
you want will arrive at a uniformly random time within the next 30 minutes. There is also a
different bus, which will arrive at a uniformly random time within the next 60 minutes.
Given that exactly one of the buses arrives within the next 5 minutes, what is the probability
that it is the one you want?
(Note: we want a conditional probability here-
Transcribed Image Text:3. You are waiting for a bus at a bus stop. There are actually two buses that stop here. The one you want will arrive at a uniformly random time within the next 30 minutes. There is also a different bus, which will arrive at a uniformly random time within the next 60 minutes. Given that exactly one of the buses arrives within the next 5 minutes, what is the probability that it is the one you want? (Note: we want a conditional probability here-
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Step 1

Given:

The bus which we want to arrive will arrive at a uniformly random time within the next 30 minutes.

There is another bus that will arrive at a uniformly random time within the next 60 minutes.

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