Suppose that the average price for a galon of gasoline in Texas is 2.23. Assume that a normal distribution applies and that the standard deviations on this paragraph of text, use the correct excel output above to answer the following question. Find the probability that price of gasoline per gallon in Tesas is less than $1.61 or greater than $2.53. a. 0.1554 b.0.8446 C.0.0782 d. None of the answers is correct e. 0.9218

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The image contains a table and a statistical problem regarding gasoline prices.

**Table:**

- **Parameters:**
  - Mean (µ): 2.23
  - Standard Deviation (σ): 0.21

- **Data:**

| X | P(X < x) |
|---|----------|
| 1.61 | 0.0122 |
| 1.76 | 0.0918 |
| 2.10 | 0.3413 |
| 2.23 | 0.5000 |
| 2.50 | 0.9332 |
| 2.53 | 0.9772 |

**Question:**

Suppose that the average price for a gallon of gasoline in Texas is $2.23. Assume that a normal distribution applies and that the standard deviation is $0.21. Refer to the table above to answer the following question:

Find the probability that the price of gasoline per gallon in Texas is less than $1.61 or greater than $2.53.

a. 0.1554  
b. 0.8846  
c. 0.0782  
d. None of the answers is correct  
e. 0.9218  

**Instructions:**

Click Save and Submit to save and submit. Click Save All Answers to save all answers.
Transcribed Image Text:The image contains a table and a statistical problem regarding gasoline prices. **Table:** - **Parameters:** - Mean (µ): 2.23 - Standard Deviation (σ): 0.21 - **Data:** | X | P(X < x) | |---|----------| | 1.61 | 0.0122 | | 1.76 | 0.0918 | | 2.10 | 0.3413 | | 2.23 | 0.5000 | | 2.50 | 0.9332 | | 2.53 | 0.9772 | **Question:** Suppose that the average price for a gallon of gasoline in Texas is $2.23. Assume that a normal distribution applies and that the standard deviation is $0.21. Refer to the table above to answer the following question: Find the probability that the price of gasoline per gallon in Texas is less than $1.61 or greater than $2.53. a. 0.1554 b. 0.8846 c. 0.0782 d. None of the answers is correct e. 0.9218 **Instructions:** Click Save and Submit to save and submit. Click Save All Answers to save all answers.
### Question 7

This section includes data tables related to normal distribution calculations.

#### First Table
- **Parameters:**
  - Mean (\( \mu \)): 2.23
  - Standard Deviation (\( \sigma \)): 0.28

| \( x_i \) | \( P(X \leq x_i) \) |
|-----------|---------------------|
| 1.61      | 0.0134              |
| 1.76      | 0.0466              |
| 2.39      | 0.7161              |
| 2.53      | 0.8580              |

#### Second Table
- **Data given for probabilities and corresponding \( x_i \) values:**

| \( P(X \leq x_i) \) | \( x_i \)  |
|---------------------|-------------|
| 0.10                | 1.8712      |
| 0.20                | 1.9943      |
| 0.40                | 2.1591      |
| 0.60                | 2.3009      |
| 0.80                | 2.4657      |
| 0.90                | 2.5888      |

#### Third Table
- **Parameters:**
  - Mean (\( \mu \)): 2.23
  - Standard Deviation (\( \sigma \)): 0.21

| \( x_i \) | \( P(X \leq x_i) \) |
|-----------|---------------------|
| 1.61      | 0.0016              |
| 1.76      | 0.0126              |
| 2.39      | 0.7769              |

### Instructions
- Users are prompted to save and submit answers by clicking the respective buttons.

This data is used to illustrate cumulative probabilities linked to normal distribution, providing insight into the likelihood of a random variable falling within a specified range.
Transcribed Image Text:### Question 7 This section includes data tables related to normal distribution calculations. #### First Table - **Parameters:** - Mean (\( \mu \)): 2.23 - Standard Deviation (\( \sigma \)): 0.28 | \( x_i \) | \( P(X \leq x_i) \) | |-----------|---------------------| | 1.61 | 0.0134 | | 1.76 | 0.0466 | | 2.39 | 0.7161 | | 2.53 | 0.8580 | #### Second Table - **Data given for probabilities and corresponding \( x_i \) values:** | \( P(X \leq x_i) \) | \( x_i \) | |---------------------|-------------| | 0.10 | 1.8712 | | 0.20 | 1.9943 | | 0.40 | 2.1591 | | 0.60 | 2.3009 | | 0.80 | 2.4657 | | 0.90 | 2.5888 | #### Third Table - **Parameters:** - Mean (\( \mu \)): 2.23 - Standard Deviation (\( \sigma \)): 0.21 | \( x_i \) | \( P(X \leq x_i) \) | |-----------|---------------------| | 1.61 | 0.0016 | | 1.76 | 0.0126 | | 2.39 | 0.7769 | ### Instructions - Users are prompted to save and submit answers by clicking the respective buttons. This data is used to illustrate cumulative probabilities linked to normal distribution, providing insight into the likelihood of a random variable falling within a specified range.
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