Solve the problem. Round to the nearest tenth unless indicated otherwise.
-In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45, which is the consumption
Level separating the bottom 45% from the top 55%.
A) 1087.8
B) 1078.3
C) 1021.7
D) 1148.1

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Quizplus · Accepted Answer

To find P45, we need to find the z-score that corresponds to the 45th percentile in a standard normal distribution, which is approximately -0.1257. Using the formula X = μ + zσ, where μ = 1050 and σ = 218, we calculate X = 1050 + (-0.1257)(218) ≈ 1021.7.

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