please show work on a piece of paper ### Probability Exercise: Analyzing Student Grades by Gender**Scenario:**A group of students took a test, and their grades along with their gender are summarized in the table below.#### Summary Table:| Grade | A | B | C | Total ||-------|---|---|---|-------|| **Male** | 9 | 6 | 7 | 22 || **Female** | 19 | 13 | 14 | 46 || **Total** | 28 | 19 | 21 | 68 |#### Questions:1. **Find the probability that the student got a B:** \[ \text{Probability} = \frac{\text{Number of students with a B}}{\text{Total number of students}} \] \[ \text{Probability} = \frac{19}{68} \]2. **Find the probability that the student was male AND got a "C":** \[ \text{Probability} = \frac{\text{Number of males with a C}}{\text{Total number of students}} \] \[ \text{Probability} = \frac{7}{68} \]3. **Find the probability that the student was female OR got a "C":** \[ \text{Probability(Female)} + \text{Probability(C)} - \text{Probability(Female and C)} \] - Probability (Female): \[ \text{Probability} = \frac{46}{68} \] - Probability (C): \[ \text{Probability} = \frac{21}{68} \] - Probability (Female and C): \[ \text{Probability} = \frac{14}{68} \] \[ \text{Total Probability} = \frac{46}{68} + \frac{21}{68} - \frac{14}{68} = \frac{53}{68} \]4. **Find the probability that the student was male GIVEN that the student got an 'A':** \[ \text{Probability} = \frac{\text{Number of males with an A}}{\text{Total number of students with an A}} \] \[ \text{Probability} = \frac{9}{28} \]These questions will help you practice calculating probabilities based on a given dataset

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Giving a test to a group of students, the grades and gender are summarized below A C Total Male 9. 7 22 Female 19 13 14 46 Total 28 19 21 68 If one student is chosen at random, (write your answers in fraction forms) Find the probability that the student got a B: Find the probability that the student was male AND got a "C": Find the probability that the student was female OR got an "C": Find the probability that the student was male GlIVEN that the student got a 'A':

Giving a test to a group of students, the grades and gender are summarized below A C Total Male 9. 7 22 Female 19 13 14 46 Total 28 19 21 68 If one student is chosen at random, (write your answers in fraction forms) Find the probability that the student got a B: Find the probability that the student was male AND got a "C": Find the probability that the student was female OR got an "C": Find the probability that the student was male GlIVEN that the student got a 'A':

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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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

Question

please show work on a piece of paper

### Probability Exercise: Analyzing Student Grades by Gender

**Scenario:**
A group of students took a test, and their grades along with their gender are summarized in the table below.

#### Summary Table:

| Grade | A | B | C | Total |
|-------|---|---|---|-------|
| **Male** | 9 | 6 | 7 | 22 |
| **Female** | 19 | 13 | 14 | 46 |
| **Total** | 28 | 19 | 21 | 68 |

#### Questions:

1. **Find the probability that the student got a B:**
\[ \text{Probability} = \frac{\text{Number of students with a B}}{\text{Total number of students}} \]

\[ \text{Probability} = \frac{19}{68} \]

2. **Find the probability that the student was male AND got a "C":**
\[ \text{Probability} = \frac{\text{Number of males with a C}}{\text{Total number of students}} \]

\[ \text{Probability} = \frac{7}{68} \]

3. **Find the probability that the student was female OR got a "C":**
\[ \text{Probability(Female)} + \text{Probability(C)} - \text{Probability(Female and C)} \]

- Probability (Female):
\[ \text{Probability} = \frac{46}{68} \]
- Probability (C):
\[ \text{Probability} = \frac{21}{68} \]
- Probability (Female and C):
\[ \text{Probability} = \frac{14}{68} \]

\[ \text{Total Probability} = \frac{46}{68} + \frac{21}{68} - \frac{14}{68} = \frac{53}{68} \]

4. **Find the probability that the student was male GIVEN that the student got an 'A':**
\[ \text{Probability} = \frac{\text{Number of males with an A}}{\text{Total number of students with an A}} \]

\[ \text{Probability} = \frac{9}{28} \]

These questions will help you practice calculating probabilities based on a given dataset

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