### Understanding Normal Distribution in Bottled Water ConsumptionThe annual per capita consumption of bottled water was 30.8 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.8 and a standard deviation of 13 gallons. The questions below help understand probabilities associated with this distribution.1. **Probability of Consuming More than 41 Gallons** - **Question**: What is the probability that someone consumed more than 41 gallons of bottled water? - **Input Box**: The probability that someone consumed more than 41 gallons of bottled water is [ ]. - **Instruction**: (Round to four decimal places as needed.)2. **Probability of Consuming Between 25 and 35 Gallons** - **Question**: What is the probability that someone consumed between 25 and 35 gallons of bottled water? - **Input Box**: The probability that someone consumed between 25 and 35 gallons of bottled water is [ ]. - **Instruction**: (Round to four decimal places as needed.)3. **Probability of Consuming Less than 25 Gallons** - **Question**: What is the probability that someone consumed less than 25 gallons of bottled water? - **Input Box**: The probability that someone consumed less than 25 gallons of bottled water is [ ]. - **Instruction**: (Round to four decimal places as needed.)4. **Gallons Consumed by 99.5% of People** - **Question**: 99.5% of people consumed less than how many gallons of bottled water? - **Input Box**: 99.5% of people consumed less than [ ] gallons of bottled water. - **Instruction**: (Round to two decimal places as needed.)### Explanation of Graphs/DiagramsThere are no graphs or diagrams in this image, but the context implies a normal distribution curve where probabilities are calculated to find the cumulative areas under specific sections of the curve based on given mean and standard deviation. This helps in understanding consumption patterns related to bottled water.When solving these problems, you'll typically use the properties of the normal distribution, often needing a standard normal distribution table or a calculator with statistical functions.

Answered: Image /qna-images/answer/cc6304e5-221e-4244-bad6-979567aa3c64.jpg

The annual per capita consumption of bottled water was 30.8 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.8 and a standard deviation of 13 gallons. a. What is the probability that someone consumed more than 41 gallons of bottled water? b. What is the probability that someone consumed between 25 and 35 gallons of bottled water? c. What is the probability that someone consumed less than 25 gallons of bottled water? d. 99.5% of people consumed less than how many gallons of bottled water? a. The probability that someone consumed more than 41 gallons of bottled water is (Round to four decimal places as needed.) b. The probability that someone consumed between 25 and 35 gallons of bottled water is (Round to four decimal places as needed.) c. The probability that someone consumed less than 25 gallons of bottled water is (Round to four decimal places as needed.) d. 99.5% of people consumed less than gallons of bottled water. (Round to two decimal places as needed.)

The annual per capita consumption of bottled water was 30.8 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.8 and a standard deviation of 13 gallons. a. What is the probability that someone consumed more than 41 gallons of bottled water? b. What is the probability that someone consumed between 25 and 35 gallons of bottled water? c. What is the probability that someone consumed less than 25 gallons of bottled water? d. 99.5% of people consumed less than how many gallons of bottled water? a. The probability that someone consumed more than 41 gallons of bottled water is (Round to four decimal places as needed.) b. The probability that someone consumed between 25 and 35 gallons of bottled water is (Round to four decimal places as needed.) c. The probability that someone consumed less than 25 gallons of bottled water is (Round to four decimal places as needed.) d. 99.5% of people consumed less than gallons of bottled water. (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

### Understanding Normal Distribution in Bottled Water Consumption

The annual per capita consumption of bottled water was 30.8 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 30.8 and a standard deviation of 13 gallons. The questions below help understand probabilities associated with this distribution.

1. **Probability of Consuming More than 41 Gallons**
- **Question**: What is the probability that someone consumed more than 41 gallons of bottled water?
- **Input Box**: The probability that someone consumed more than 41 gallons of bottled water is [ ].
- **Instruction**: (Round to four decimal places as needed.)

2. **Probability of Consuming Between 25 and 35 Gallons**
- **Question**: What is the probability that someone consumed between 25 and 35 gallons of bottled water?
- **Input Box**: The probability that someone consumed between 25 and 35 gallons of bottled water is [ ].
- **Instruction**: (Round to four decimal places as needed.)

3. **Probability of Consuming Less than 25 Gallons**
- **Question**: What is the probability that someone consumed less than 25 gallons of bottled water?
- **Input Box**: The probability that someone consumed less than 25 gallons of bottled water is [ ].
- **Instruction**: (Round to four decimal places as needed.)

4. **Gallons Consumed by 99.5% of People**
- **Question**: 99.5% of people consumed less than how many gallons of bottled water?
- **Input Box**: 99.5% of people consumed less than [ ] gallons of bottled water.
- **Instruction**: (Round to two decimal places as needed.)

### Explanation of Graphs/Diagrams
There are no graphs or diagrams in this image, but the context implies a normal distribution curve where probabilities are calculated to find the cumulative areas under specific sections of the curve based on given mean and standard deviation. This helps in understanding consumption patterns related to bottled water.

When solving these problems, you'll typically use the properties of the normal distribution, often needing a standard normal distribution table or a calculator with statistical functions.

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