MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Uniform Distribution Probability Problem**

The waiting times to take the Red Car to Logan Pass in Glacier National Park is uniformly distributed. What is the probability that the time to take a Red Car has a value between 4 and 7 hours? *(Write the answer as a reduced fraction.)*

**Graph Explanation**: 

The diagram is a simple bar graph representing a uniform distribution for waiting times ranging from 0 to 8 hours. The graph features:

- An axis labeled from 0 to 8.
- A horizontal rectangle spanning the entire distribution on the x-axis, indicating the range of possible waiting times.
- A shaded area, in dark red, between 4 and 7 on the x-axis signifies the specific range for which the probability is being calculated.

**Calculation Requirement**:

The probability \( P(4 < x < 7) \) is the focus. This determines how likely it is that the waiting time falls between 4 and 7 hours. The answer needs to be expressed as a reduced fraction.
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Transcribed Image Text:**Uniform Distribution Probability Problem** The waiting times to take the Red Car to Logan Pass in Glacier National Park is uniformly distributed. What is the probability that the time to take a Red Car has a value between 4 and 7 hours? *(Write the answer as a reduced fraction.)* **Graph Explanation**: The diagram is a simple bar graph representing a uniform distribution for waiting times ranging from 0 to 8 hours. The graph features: - An axis labeled from 0 to 8. - A horizontal rectangle spanning the entire distribution on the x-axis, indicating the range of possible waiting times. - A shaded area, in dark red, between 4 and 7 on the x-axis signifies the specific range for which the probability is being calculated. **Calculation Requirement**: The probability \( P(4 < x < 7) \) is the focus. This determines how likely it is that the waiting time falls between 4 and 7 hours. The answer needs to be expressed as a reduced fraction.
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