Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean ? = 3.1 and standard deviation ? = 0.4. ### Understanding Red Blood Cell Count DistributionFor healthy females, the red blood cell (RBC) count \( x \) in millions per cubic milliliter of whole blood follows an approximately normal distribution with:- Mean (\(\mu\)) = 3.1 - Standard deviation (\(\sigma\)) = 0.4### Standard Normal DistributionBelow is a diagram representing the standard normal distribution (\( \mu = 0, \sigma = 1 \)):![Standard Normal Distribution](https://example.com/standard-normal-distribution.jpg)In the diagram, the normal distribution is shown with sections representing:- 68% of the area under the curve within \( -1 \le z \le 1 \)- 95% of the area within \( -2 \le z \le 2 \)- 99.7% of the area within \( -3 \le z \le 3 \)### Exercises in Converting between \( x \) and \( z \) Intervals**(a)** Convert the \( x \) interval, \( 4.5 < x \), to a \( z \) interval. (Round your answer to two decimal places.)\[ \boxed{} < z \]**(b)** Convert the \( x \) interval, \( x < 4.2 \), to a \( z \) interval. (Round your answer to two decimal places.)\[ z < \boxed{} \]**(c)** Convert the \( x \) interval, \( 4.0 < x < 5.5 \), to a \( z \) interval. (Round your answers to two decimal places.)\[ \boxed{} < z < \boxed{} \]**(d)** Convert the \( z \) interval, \( z < -1.44 \), to an \( x \) interval. (Round your answer to one decimal place.)\[ x < \boxed{} \]**(e)** Convert the \( z \) interval, \( 1.28 < z \), to an \( x \) interval. (Round your answer to one decimal place.)\[ \boxed{} < x \]**(f)** Convert the \( z \) interval, \( -2.25 < z < -1.00 \), to an \( x \) interval. (Round your answers to one decimal place.)\[ \boxed{} < x <

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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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Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean ? = 3.1 and standard deviation ? = 0.4.

### Understanding Red Blood Cell Count Distribution

For healthy females, the red blood cell (RBC) count \( x \) in millions per cubic milliliter of whole blood follows an approximately normal distribution with:
- Mean (\(\mu\)) = 3.1
- Standard deviation (\(\sigma\)) = 0.4

### Standard Normal Distribution

Below is a diagram representing the standard normal distribution (\( \mu = 0, \sigma = 1 \)):

![Standard Normal Distribution](https://example.com/standard-normal-distribution.jpg)

In the diagram, the normal distribution is shown with sections representing:
- 68% of the area under the curve within \( -1 \le z \le 1 \)
- 95% of the area within \( -2 \le z \le 2 \)
- 99.7% of the area within \( -3 \le z \le 3 \)

### Exercises in Converting between \( x \) and \( z \) Intervals

**(a)** Convert the \( x \) interval, \( 4.5 < x \), to a \( z \) interval. (Round your answer to two decimal places.)

\[ \boxed{} < z \]

**(b)** Convert the \( x \) interval, \( x < 4.2 \), to a \( z \) interval. (Round your answer to two decimal places.)

\[ z < \boxed{} \]

**(c)** Convert the \( x \) interval, \( 4.0 < x < 5.5 \), to a \( z \) interval. (Round your answers to two decimal places.)

\[ \boxed{} < z < \boxed{} \]

**(d)** Convert the \( z \) interval, \( z < -1.44 \), to an \( x \) interval. (Round your answer to one decimal place.)

\[ x < \boxed{} \]

**(e)** Convert the \( z \) interval, \( 1.28 < z \), to an \( x \) interval. (Round your answer to one decimal place.)

\[ \boxed{} < x \]

**(f)** Convert the \( z \) interval, \( -2.25 < z < -1.00 \), to an \( x \) interval. (Round your answers to one decimal place.)

\[ \boxed{} < x <

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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