The average American man consumes 10 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.9 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all answers to 4 decimal places where possible. (a) What is the distribution of X? X-N 10 ✓0.9 os os (b) Find the probability that this American man consumes between 10.8 and 12.6 grams of sodium per day. 0.1848 Os (c) The middle 30% of American men consume between what two weights of sodium? Low: 9.649 X High: 10.351
The average American man consumes 10 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.9 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all answers to 4 decimal places where possible. (a) What is the distribution of X? X-N 10 ✓0.9 os os (b) Find the probability that this American man consumes between 10.8 and 12.6 grams of sodium per day. 0.1848 Os (c) The middle 30% of American men consume between what two weights of sodium? Low: 9.649 X High: 10.351
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![### Sodium Consumption in American Men
The average American man consumes 10 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.9 grams. Suppose an American man is randomly chosen. Let \(X\) represent the amount of sodium consumed. **Round all answers to 4 decimal places where possible.**
#### (a) What is the distribution of \( X \)?
\[X \sim N(\mu = 10, \sigma = 0.9)\]
#### (b) Probability Calculation
Find the probability that an American man consumes between 10.8 and 12.6 grams of sodium per day.
\[ \text{Probability} = 0.1848 \]
#### (c) Middle 30% Consumption Range
Determine the weights of sodium that the middle 30% of American men consume.
- **Low:** 9.649 grams
- **High:** 10.351 grams](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82a8ebfc-76c9-419b-9ea9-29a90be836d5%2F0f0bf01b-13c9-425a-a7c8-cd3389bcc5b6%2F5ab4use_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Sodium Consumption in American Men
The average American man consumes 10 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.9 grams. Suppose an American man is randomly chosen. Let \(X\) represent the amount of sodium consumed. **Round all answers to 4 decimal places where possible.**
#### (a) What is the distribution of \( X \)?
\[X \sim N(\mu = 10, \sigma = 0.9)\]
#### (b) Probability Calculation
Find the probability that an American man consumes between 10.8 and 12.6 grams of sodium per day.
\[ \text{Probability} = 0.1848 \]
#### (c) Middle 30% Consumption Range
Determine the weights of sodium that the middle 30% of American men consume.
- **Low:** 9.649 grams
- **High:** 10.351 grams
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