The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.0 minutes and a standard deviation of 1 minute. Find the probability that a randomly

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### Understanding Parking Time Probability for College Students

The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with:
- **Mean (μ)**: 3.0 minutes
- **Standard Deviation (σ)**: 1 minute

**Problem Statement:**
Find the probability that a randomly selected college student will spend between 1.5 and 4.0 minutes searching for a parking spot in the library parking lot.

To solve this problem, we can use the properties of the normal distribution, specifically calculating the area under the curve between the two time points (1.5 and 4.0 minutes). 

These calculations usually involve converting the time values to their respective Z-scores and then using standard normal distribution tables or software tools to find the probabilities. 

For more detailed solutions and step-by-step guidance on calculating probabilities for normally distributed data, refer to our section on **Statistics and Probability**.
Transcribed Image Text:### Understanding Parking Time Probability for College Students The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with: - **Mean (μ)**: 3.0 minutes - **Standard Deviation (σ)**: 1 minute **Problem Statement:** Find the probability that a randomly selected college student will spend between 1.5 and 4.0 minutes searching for a parking spot in the library parking lot. To solve this problem, we can use the properties of the normal distribution, specifically calculating the area under the curve between the two time points (1.5 and 4.0 minutes). These calculations usually involve converting the time values to their respective Z-scores and then using standard normal distribution tables or software tools to find the probabilities. For more detailed solutions and step-by-step guidance on calculating probabilities for normally distributed data, refer to our section on **Statistics and Probability**.
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