Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -1.19°C. P(Z > -1.19) =
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -1.19°C. P(Z > -1.19) =
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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![**Normal Distribution in Thermometer Readings**
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -1.19°C.
\[ P(Z > -1.19) = \] ____
**Explanation:**
This scenario involves a normal distribution characterized by a mean of 0°C and a standard deviation of 1.00°C. The task requires finding the probability that a randomly selected thermometer shows a reading greater than -1.19°C.
To solve this, use the standard normal distribution (Z) which has a mean of 0 and standard deviation of 1. The probability can be found using a Z-table or statistical software to obtain the area under the normal curve to the right of Z = -1.19. This area represents the probability of obtaining a reading greater than -1.19°C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e6a6059-ed9e-4fc6-bcdc-bd60af3031df%2F8ca5103d-0d81-47d4-a710-6ad88c4937ca%2F9elbhsd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Normal Distribution in Thermometer Readings**
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -1.19°C.
\[ P(Z > -1.19) = \] ____
**Explanation:**
This scenario involves a normal distribution characterized by a mean of 0°C and a standard deviation of 1.00°C. The task requires finding the probability that a randomly selected thermometer shows a reading greater than -1.19°C.
To solve this, use the standard normal distribution (Z) which has a mean of 0 and standard deviation of 1. The probability can be found using a Z-table or statistical software to obtain the area under the normal curve to the right of Z = -1.19. This area represents the probability of obtaining a reading greater than -1.19°C.
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