Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between - 1.23 and 1.72
Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case below, draw a sketch, and find the probability of the reading. (The given values are in Celsius degrees.) Between - 1.23 and 1.72
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. Click to view [page 2 of the table](#).
---
**Draw a sketch. Choose the correct graph below:**
- **Graph A:** A normal distribution curve with the area between z = -1.23 and z = 1.72 unshaded.
- **Graph B:** A normal distribution curve with the area beyond z = -1.23 and z = 1.72 shaded.
- **Graph C:** A normal distribution curve with the area between z = -1.23 and z = 1.72 shaded.
The correct graph should highlight the region between z = -1.23 and z = 1.72.
---
**Explanation of the Graphs:**
1. **Graph A:**
- **Description:** This graph shows a normal distribution curve where the area within the z-values of -1.23 and 1.72 is not shaded.
- **Incorrect** because we are interested in the probability between these z-values.
2. **Graph B:**
- **Description:** This graph shows a normal distribution curve where the area outside the z-values of -1.23 and 1.72 is shaded.
- **Incorrect** because this does not represent the probability within the specified range.
3. **Graph C:**
- **Description:** This graph shows a normal distribution curve where the area between the z-values of -1.23 and 1.72 is shaded.
- **Correct** because it highlights the region between these z-values, which is the desired probability range.
---
**Calculation:**
The probability of getting a reading between -1.23°C and 1.72°C is [____]. (Round to four decimal places as needed.)
Click to select your answer(s).
---
_Save for Later_
---
**Note:** To find the correct probability, refer to the standard normal distribution table corresponding to the z-values -1.23 and 1.72.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdbedd374-d5ca-41f2-a379-751fa7b6bb2f%2F3d1acbb6-848a-463f-8d79-f5090771874a%2Fy401s5l.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability of Thermometer Readings
Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case below, draw a sketch and find the probability of the reading. (The given values are in Celsius degrees.)
**Between -1.23 and 1.72**
Click to view [page 1 of the table](#). Click to view [page 2 of the table](#).
---
**Draw a sketch. Choose the correct graph below:**
- **Graph A:** A normal distribution curve with the area between z = -1.23 and z = 1.72 unshaded.
- **Graph B:** A normal distribution curve with the area beyond z = -1.23 and z = 1.72 shaded.
- **Graph C:** A normal distribution curve with the area between z = -1.23 and z = 1.72 shaded.
The correct graph should highlight the region between z = -1.23 and z = 1.72.
---
**Explanation of the Graphs:**
1. **Graph A:**
- **Description:** This graph shows a normal distribution curve where the area within the z-values of -1.23 and 1.72 is not shaded.
- **Incorrect** because we are interested in the probability between these z-values.
2. **Graph B:**
- **Description:** This graph shows a normal distribution curve where the area outside the z-values of -1.23 and 1.72 is shaded.
- **Incorrect** because this does not represent the probability within the specified range.
3. **Graph C:**
- **Description:** This graph shows a normal distribution curve where the area between the z-values of -1.23 and 1.72 is shaded.
- **Correct** because it highlights the region between these z-values, which is the desired probability range.
---
**Calculation:**
The probability of getting a reading between -1.23°C and 1.72°C is [____]. (Round to four decimal places as needed.)
Click to select your answer(s).
---
_Save for Later_
---
**Note:** To find the correct probability, refer to the standard normal distribution table corresponding to the z-values -1.23 and 1.72.
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