3) The per capita energy consumption level (in kilowatt-hours) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure. μ=2267 kWh VE G=574.7 kWh 2267 Kilowatt-hours 267 X 4267 (a) What consumption level represents the 6th percentile? (b) What consumption level represents the 17th percentile? (c) What consumption level represents the third quartile?

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### Energy Consumption Analysis

The per capita energy consumption level (in kilowatt-hours) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure below.

#### Graph Explanation:
The graph displays a normal distribution curve with the following parameters:
- Mean (\(\mu\)): 2267 kWh
- Standard deviation (\(\sigma\)): 574.7 kWh

The x-axis represents the kilowatt-hours, ranging from approximately 267 kWh to 4267 kWh.

#### Questions:
(a) What consumption level represents the 6th percentile?  
(b) What consumption level represents the 17th percentile?  
(c) What consumption level represents the third quartile?  

Ensure to use a standard normal distribution table or software to calculate the specific consumption levels based on the given percentiles and quartiles.
Transcribed Image Text:### Energy Consumption Analysis The per capita energy consumption level (in kilowatt-hours) in a certain country for a recent year can be approximated by a normal distribution, as shown in the figure below. #### Graph Explanation: The graph displays a normal distribution curve with the following parameters: - Mean (\(\mu\)): 2267 kWh - Standard deviation (\(\sigma\)): 574.7 kWh The x-axis represents the kilowatt-hours, ranging from approximately 267 kWh to 4267 kWh. #### Questions: (a) What consumption level represents the 6th percentile? (b) What consumption level represents the 17th percentile? (c) What consumption level represents the third quartile? Ensure to use a standard normal distribution table or software to calculate the specific consumption levels based on the given percentiles and quartiles.
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