### Understanding Sodium Consumption in American Men**Scenario:** 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 0.8 grams. Suppose an American man is randomly chosen. Let \( X \) = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible.**Questions:**1. **a. What is the distribution of \( X \)?** \[ X \sim N (\mu =\underline{\hspace{2cm}}, \sigma = \underline{\hspace{2cm}})\]2. **b. Find the probability that this American man consumes between 10.8 and 12.3 grams of sodium per day.**\[ P(10.8 \leq X \leq 12.3) = \underline{\hspace{10cm}} \]3. **c. The middle 20% of American men consume between what two weights of sodium?** - **Low:** \[ \underline{\hspace{6cm}} \] - **High:** \[ \underline{\hspace{6cm}} \]**Hint:**---**Helpful Videos:**- [Find a Probability](#)- [Finding a Value Given a Probability](#)**Hint:**

a) The mean is 10 and the standard deviation is 0.8.

Answered: The average American man consumes 10…

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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The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that this American man consumes between 9.2 and 10.1 grams of sodium per day. c. The middle 20% of American men consume between what two weights of sodium? Low: High:
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