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
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### 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%
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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