The lifespans of domesticated cats are normally distributed, with a mean of 15.7 years and a standard deviation of 1.6 years. What is the probability that a given cat will live at least 15.7 years? one: O O 100% 50% 68%
The lifespans of domesticated cats are normally distributed, with a mean of 15.7 years and a standard deviation of 1.6 years. What is the probability that a given cat will live at least 15.7 years? one: O O 100% 50% 68%
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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Transcribed Image Text:### Lifespan Probability Question
The lifespans of domesticated cats are normally distributed, with a mean of 15.7 years and a standard deviation of 1.6 years. What is the probability that a given cat will live at least 15.7 years?
#### Select one:
- ⃝ 0%
- ⃝ 100%
- ⃝ 50%
- ⃝ 68%
### Explanation:
To find the probability that a given cat will live at least 15.7 years, we note that 15.7 years is the mean of the normally distributed lifespan data. In a normal distribution, 50% of the data lies below the mean, and 50% lies above the mean. Therefore, the probability that a cat will live at least 15.7 years is 50%.
### Correct Answer:
- ⃝ 50%
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