A police department in a rural county reports that its response time to 911 calls is approximately Normally distributed with a mean of 16 minutes and a standard deviation of 8.7 minutes. Approximately what proportion of their response times is over 22 minutes?

MATLAB: An Introduction with Applications
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**AP Statistics - Unit 1 - Problem Analysis**

**Scenario:**
A police department in a rural county reports that its response time to 911 calls is approximately normally distributed with a mean of 16 minutes and a standard deviation of 8.7 minutes. 

**Question:**
Approximately what proportion of their response times is over 22 minutes?

**Answer Choices:**
- 0.32
- 0.24
- 0.76
- 0.21
- 0.68

To solve this problem, we would use the properties of the normal distribution. This involves finding the z-score for 22 minutes and consulting a standard normal distribution table or using statistical software to determine the proportion of response times that exceed this threshold.
Transcribed Image Text:**AP Statistics - Unit 1 - Problem Analysis** **Scenario:** A police department in a rural county reports that its response time to 911 calls is approximately normally distributed with a mean of 16 minutes and a standard deviation of 8.7 minutes. **Question:** Approximately what proportion of their response times is over 22 minutes? **Answer Choices:** - 0.32 - 0.24 - 0.76 - 0.21 - 0.68 To solve this problem, we would use the properties of the normal distribution. This involves finding the z-score for 22 minutes and consulting a standard normal distribution table or using statistical software to determine the proportion of response times that exceed this threshold.
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