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Chapter 5: Problem 4

On average, the campus shuttle bus passes the library about once every hour.

Short Answer

Expert verified
The probability of the campus shuttle bus passing by the library at a specific minute during an hour is \(\frac{1}{60}\) or approximately 1.67%.

Step by step solution

01

Understanding the given data

We have the average frequency of the campus shuttle bus, which is once every hour. So, the shuttle bus passes by the library once in one hour (60 minutes).
02

Calculate the probability of the bus passing at a particular minute

Since there are 60 minutes in an hour and the bus passes by the library once in that hour, the probability of the bus passing at any given minute can be calculated as follows: Probability of bus passing at a particular minute = 1/total minutes in an hour Plug the values into the equation: \( Probability = \frac{1}{60} \)
03

Represent the probability as a percentage or a fraction

The probability can be represented as a fraction or a percentage. To convert the probability from a fraction to a percentage, multiply it by 100. Percentage Probability = Probability * 100 \( Percentage Probability = \frac{1}{60} * 100 \) Percentage Probability = 1.67% (approximately) Thus, the probability of the campus shuttle bus passing by the library at a specific minute is 1/60 or 1.67% during an hour.

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