In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 73 and a standard deviation of 8. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D.The lowest score that would qualify a student for an A is nothing.(Round up to the nearest integer as needed.)The lowest score that would qualify a student for a B is nothing.(Round up to the nearest integer as needed.)The lowest score that would qualify a student for a C is nothing.(Round up to the nearest integer as needed.)The lowest score that would qualify a student for a D is nothing.(Round up to the nearest integer as needed.) This image displays a standard normal distribution table, commonly known as a Z-table. The Z-table provides the cumulative probability of a standard normal random variable being less than a given value. It is commonly used in statistical analyses.### Description of the Table:- **Columns and Rows:** - The leftmost column represents the Z-score values, covering a range from -3.4 to -1.3 in this portion of the table. - The top row displays decimal values ranging from 0.00 to 0.09.- **Values:** - Each cell in the table provides the cumulative probability that a standard normal variable is less than the associated Z-score. - For example, the top-left cell (column 0.00, row -3.4) corresponds to a probability of 0.0002, meaning there is a 0.02% likelihood that a Z-score is less than -3.4.### Usage:To find the probability of a Z-score:1. Locate the Z-score's first decimal value in the leftmost column.2. Identify the second decimal value in the top row.3. Find the intersection of the row and column for the cumulative probability.This table is an essential tool in statistics for calculating probabilities and understanding the distribution of datasets. This image appears to be a Z-table, which is used in statistics to find the probability of a given score occurring within a standard normal distribution. The Z-table typically provides the area (probability) to the left of a given Z-score on a standard normal curve.### Understanding the Table:- **Rows & Columns**: The table is organized with Z-scores listed along the leftmost column and across the top row. Each Z-score is a combination of a row and column value.- **Values**: Each cell within the table represents the cumulative probability associated with its corresponding Z-score.### Example:To find the cumulative probability for a Z-score of 0.53:1. **Row**: Locate the row corresponding to 0.5 (first digit and first decimal place of the Z-score).2. **Column**: Move to the column for 0.03 (second decimal place of the Z-score).3. **Intersection**: The value at this intersection gives the cumulative probability for Z = 0.53. This Z-table is an essential tool for statistics students and professionals, providing quick reference to calculate probabilities for normal distributions.

Name: In a large section of a statistics class, the points for the final ex
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Description: In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 73 and a standard deviation of 8. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40%

Solution: Let X be the random variable defines as the points for the final exam. X is normally…

Answered: In a large section of a statistics…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 73 and a standard deviation of 8. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D. The lowest score that would qualify a student for an A is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a B is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a C is nothing. (Round up to the nearest integer as needed.) The lowest score that would qualify a student for a D is nothing. (Round up to the nearest integer as needed.)

This image displays a standard normal distribution table, commonly known as a Z-table. The Z-table provides the cumulative probability of a standard normal random variable being less than a given value. It is commonly used in statistical analyses.

### Description of the Table:

- **Columns and Rows:**
- The leftmost column represents the Z-score values, covering a range from -3.4 to -1.3 in this portion of the table.
- The top row displays decimal values ranging from 0.00 to 0.09.

- **Values:**
- Each cell in the table provides the cumulative probability that a standard normal variable is less than the associated Z-score.
- For example, the top-left cell (column 0.00, row -3.4) corresponds to a probability of 0.0002, meaning there is a 0.02% likelihood that a Z-score is less than -3.4.

### Usage:

To find the probability of a Z-score:

1. Locate the Z-score's first decimal value in the leftmost column.
2. Identify the second decimal value in the top row.
3. Find the intersection of the row and column for the cumulative probability.

This table is an essential tool in statistics for calculating probabilities and understanding the distribution of datasets.

This image appears to be a Z-table, which is used in statistics to find the probability of a given score occurring within a standard normal distribution. The Z-table typically provides the area (probability) to the left of a given Z-score on a standard normal curve.

### Understanding the Table:

- **Rows & Columns**: The table is organized with Z-scores listed along the leftmost column and across the top row. Each Z-score is a combination of a row and column value.

- **Values**: Each cell within the table represents the cumulative probability associated with its corresponding Z-score.

### Example:
To find the cumulative probability for a Z-score of 0.53:
1. **Row**: Locate the row corresponding to 0.5 (first digit and first decimal place of the Z-score).
2. **Column**: Move to the column for 0.03 (second decimal place of the Z-score).
3. **Intersection**: The value at this intersection gives the cumulative probability for Z = 0.53.

This Z-table is an essential tool for statistics students and professionals, providing quick reference to calculate probabilities for normal distributions.

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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