Electric bills: According to the U.S. Energy Information Administration, the mean monthly household electric bill in the United States in a recent year was $110.14. Assume the amounts are normally distributed with standard deviation $20.00. a. What proportion of bills are greater than $130? b. What proportion of bills are between $85 and $140? c. What is the probability that a randomly selected household had a monthly bill less than $120?

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### 36. Electric Bills

According to the U.S. Energy Information Administration, the mean monthly household electric bill in the United States in a recent year was $110.14. Assume the amounts are normally distributed with a standard deviation of $20.00.

#### Questions:

a. **What proportion of bills are greater than $130?**

b. **What proportion of bills are between $85 and $140?**

c. **What is the probability that a randomly selected household had a monthly bill less than $120?**

To answer these questions, students should apply concepts from statistics related to the normal distribution, z-scores, and probability. They may need to use a standard normal distribution table or a calculator capable of statistical functions.
Transcribed Image Text:### 36. Electric Bills According to the U.S. Energy Information Administration, the mean monthly household electric bill in the United States in a recent year was $110.14. Assume the amounts are normally distributed with a standard deviation of $20.00. #### Questions: a. **What proportion of bills are greater than $130?** b. **What proportion of bills are between $85 and $140?** c. **What is the probability that a randomly selected household had a monthly bill less than $120?** To answer these questions, students should apply concepts from statistics related to the normal distribution, z-scores, and probability. They may need to use a standard normal distribution table or a calculator capable of statistical functions.
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