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مقدمة في نظرية الاحتمالات Introduction in probability thoery

Sample Space (S): The set of all possible outcomes of an experiment.

Event (E): A specific outcome or combination of outcomes within the sample space.

Probability (P): A measure of the likelihood of an event occurring, ranging from 0 to 1.

Probability of an Event (P(E)): Calculated as (Number of Favorable Outcomes) / (Total Number of Outcomes).

Complement of an Event (E'): The set of outcomes not in event E, with P(E') = 1 - P(E).

Mutually Exclusive Events: Events that cannot occur simultaneously, with P(E or F) = P(E) + P(F).

Independent Events: Events whose occurrence doesn't affect each other, with P(E and F) = P(E) * P(F).

Conditional Probability: Probability of an event given that another event has occurred, calculated as P(E|F) = P(E and F) / P(F).

These concepts form the foundation of probability theory, which is essential for understanding and quantifying uncertainty and randomness.

Location

Online via webcam

General info

Age:
Children (7-12 years old)
Teenagers (13-17 years old)
Adults (18-64 years old)
Seniors (65+ years old)
Student level:
Beginner
Intermediate
Advanced
Duration:
60 minutes
The class is taught in:Arabic, English

About Me

I am a university professor specializing in Applied Statistics, Operations Research, and Mathematics. I earned my Ph.D. in Applied Statistics in 2017. I have extensive experience in both teaching and research, including supervising numerous Master's and Ph.D. theses.

Furthermore, I have been involved in projects aimed at enhancing workplace and production efficiency through the application of statistical methods. I possess a wealth of experience in market analysis and have spent many years teaching computer programs.

I have also actively participated in various conferences and published research on both the local and international levels. You can rely on me for teaching a wide range of subjects, including:

Applied Statistics in all its branches, such as probability, probability distributions, statistical estimations, and more.
Descriptive Statistics.
Algebra.
Differential and Integral Calculus.
Operations Research, including genetic algorithms, random processes, queueing theory, and more.
Economics Instruction.
Computer programming proficiency in Visual Basic, SQL, and the professional use of the Microsoft Office suite.
I would be delighted to share my knowledge and expertise with students and researchers, assisting them in achieving their academic and professional goals.

Education

You hold a Doctorate in Applied Statistics from the University of Port Said, earned in 2017. You also possess a Master's degree in Applied Statistics from the same university, achieved in 2012. In addition, you have a diploma in Computer Applications for Business from the University of Port Said, and your Bachelor's degree is in Applied Statistics and Economics from the same institution.

Furthermore, your profile is adorned with numerous certifications in the field of computer science. This blend of qualifications impeccably combines the realms of Applied Statistics and Computer Applications, rendering you well-qualified for a wide array of academic and professional opportunities. Your dedication and evident academic achievements from the University of Port Said make you a potential leader in the fields of Applied Statistics and related areas, both in teaching and research.

Experience / Qualifications

I am a university professor with expertise in Applied Statistics, Operations Research, and Mathematics. My qualifications and experience encompass a wide range of academic and professional activities.

Professional Highlights:

Academic Expertise: My primary focus is in Applied Statistics, Operations Research, and Mathematics.
Thesis Supervision: I have successfully supervised numerous Master's and Ph.D. theses, contributing to the academic growth of students.
Project Involvement: I have been actively involved in projects aimed at improving workplace and production efficiency, demonstrating a practical application of statistical principles.
Market Analysis: My experience includes conducting market analysis and utilizing data for research and analytical purposes.
Teaching Proficiency: I have a long-standing experience in teaching computer programs and a diverse range of subjects.
Research and Publications: I have actively participated in conferences and have contributed to both local and international research publications.
Qualifications:

Doctorate in Applied Statistics: I obtained my Ph.D. in Applied Statistics in 2017.
Statistical Proficiency: I am well-versed in all aspects of Applied Statistics, including probability, probability distributions, statistical estimations, and more.
Descriptive Statistics: I possess a strong foundation in descriptive statistics.
Mathematical Competence: I have a solid understanding of Algebra, Differential and Integral Calculus.
Operations Research: My knowledge extends to Operations Research, covering genetic algorithms, random processes, queueing theory, and related areas.
Versatile Teaching Skills: I am capable of teaching a diverse range of subjects, including Economics.
Computer Programming: I have mastered computer programming skills, including Visual Basic, SQL, and proficient usage of the Microsoft Office suite.
These qualifications and experiences make me a multi-disciplinary specialist capable of teaching and supervising research across a wide spectrum of academic and professional domains.

Reviews (1)

Very helpful
As a university professor specializing in statistics and mathematics. In addition to that, I obtained many certificates in computer training, and after my previous experience as a computer trainer in many training centers, it was necessary for me to master the use of the Excel program at its basic and advanced levels. As a result, I prepared two lessons that included distinct explanations in Arabic and English, according to the trainee’s language. As a university professor specialized in statistics and mathematics, and with multiple certifications in computer training, in addition to my prior experience as a computer trainer in various training centers, it was imperative for me to master the use of Excel at both basic and advanced levels. . Consequently, I have prepared two lessons, presented in both Arabic and English, which include comprehensive explanations. Lesson One: Introduction to using Excel In this lesson, you will introduce basic concepts about Excel in a simplified way. You can include the following: Explanation of the Excel interface: Explanation of the main interface elements such as the toolbar and navigation bar. Create a simple table: How to create a basic table in Excel and enter data into cells. Simple Calculations: How to use basic arithmetic operations such as addition, subtraction, multiplication, and division. Data formatting: How to format data so that fonts, colors, and style can be changed. Lesson 1: Introduction to Using Excel In this lesson, I will provide a simplified explanation of basic Excel concepts, covering: Excel Interface: An overview of the main elements of the interface, such as the toolbar and the navigation bar. Creating a Simple Table: How to create a basic table in Excel and input data into cells. Basic Calculations: How to perform fundamental mathematical operations such as addition, subtraction, multiplication, and division. Data Formatting: How to format data, including changing fonts, colors, and styles. Lesson Two: Excel for the advanced level This lesson can be targeted at people who want to use Excel for more complex purposes. You can include the following topics: Functions and equations: An explanation of the use of built-in functions such as SUM and AVERAGE, but not limited to, and custom equations. Dynamic Tables: How to create dynamic tables and use them to analyze data. Conditional formatting: How to set up conditional formatting of cells based on certain rules. Graphs: How to create graphs and use them to visualize data. Data Review: Explain how to use review tools such as filters, sorting, and searching. Within each lesson, you can include interactive examples and hands-on exercises to help students apply the concepts explained. Students can also be directed to additional resources for delving deeper into Excel if they are interested. On the practical side, you can use Excel to create examples and practical exercises that help students apply the concepts taught in the lessons. Thus, you will have excellent lessons to teach basic and advanced use of Excel. Lesson 2: Advanced Excel This lesson is designed for individuals who wish to utilize Excel for more complex purposes. It will cover the following topics: Functions and Equations: Explanation of using built-in functions like SUM, AVERAGE, and more, as well as creating custom equations. Pivot Tables: How to create pivot tables and use them for data analysis. Conditional Formatting: How to set up conditional formatting for cells based on specific criteria. Charts and Graphs: Create charts and graphs to visualize data. Data Review: Explanation of tools for data review, such as filters, sorting, and search. Within each lesson, interactive examples and practical exercises will be included to help students apply the concepts taught. Additionally, students can be directed to additional resources for further in-depth exploration of Excel if they are interested. These lessons will ensure that students can learn how to use Excel effectively at both basic and advanced levels, benefiting from my expertise in the field.
1. Definition: What is a binomial distribution? 2. Parameters: Understanding n and p. 3. Probability Mass Function (PMF): Calculating P(X = x). 4. Formula: The binomial probability formula. 5. Mean and Variance: Calculating μ and σ^2. 6. Cumulative Distribution Function (CDF): Calculating cumulative probabilities. 7. Practice Problems: Examples for practice. 8. Software Tools: Using Excel software.
I am honored to be a university professor specialized in teaching statistics, mathematics, operations research, and economics. Thanks to my extensive experience, which extended for 15 years, I became a professional in monitoring students’ level and contributing to their academic success and achieving their cognitive goals. I truly find true happiness in my work as a university professor by guiding and helping students in achieving their academic realization and raising their level of scientific awareness. Therefore, I have a strong belief in the importance of this noble mission in the field of education. Typically, sessions go like this: 1️⃣ The first sessions focus mainly on assessing the student’s level to determine the areas that need development. 2️⃣ Next, we prepare a plan to fill the gaps, including determining the number of hours needed, the materials to focus on, and providing a set of training and improvement exercises. 3️⃣ We are keen to constantly review the student’s curriculum to stay informed of the latest developments and ensure continuous coordination. 4️⃣ Next, we provide exams similar to those that could be asked in class. 5️⃣ Finally, we prepare a monthly report upon request to notify parents of the student’s progress and improvement points. I am honored to be a specialized university professor with 15 years of experience in teaching statistics, mathematics, and operations research. Thanks to my extensive experience, I have become a professional in monitoring students' progress and contributing to their academic success. Indeed, I find true happiness in my work as a university professor through guiding and assisting students in achieving their academic awareness and raising their level of scientific knowledge. Therefore, I have a strong belief in the importance of this noble mission in the field of education. Usually, sessions follow the following structure: 1️⃣ The initial sessions primarily focus on assessing the student’s level to identify the areas that need improvement. 2️⃣ Following that, we create a plan to address the identified areas, including determining the required number of hours, the specific subjects that need emphasis, and providing a range of practice and enhancement exercises. 3️⃣ We ensure ongoing alignment with the student’s curriculum to stay updated on the latest developments and maintain continuous coordination. 4️⃣ Subsequently, we administer similar exams to those that may be given in the classroom. 5️⃣ Finally, we prepare a monthly report upon request to inform parents about the student’s progress and areas of improvement.

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from £19.70Online via webcam

Good-fit Instructor Guarantee


If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

Online reputation

  • Instructor since October 2023
  • 1 repeat student
  • Phone number verified
  • Google connected

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from £19.70Online via webcam

Good-fit Instructor Guarantee


If you are not satisfied after your first lesson, Apprentus will find you another instructor or will refund your first lesson.

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