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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

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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### 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.
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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