ST102 : An Introduction to Probability

Department

Department of Statistics

Academic Program

Bachelor in Statistics

Type

Compulsory

Credits

04

Prerequisite

ST101

Overview

1- This course aims to expand the student's perceptions of the distinction between probability distributions and their applications.

2- Studying the terms and concepts related to special probability distributions.

3- Identify the concept of confidence intervals for the mean and ratio and use them for a sample or for the difference between two samples.

4- Identify hypothesis tests for the mean and ratio and use them, whether for one sample or for the difference between two samples.

Intended learning outcomes

1. Knowledge and understanding .

A.1

The student should be familiar with the concept of discrete and continuous random variables

A.2

The student should learn mathematical expectation and some discrete and continuous probability distributions and methods of calculating them.

A.3

The student understands how to calculate the confidence interval for the mean and the ratio for one sample and the difference between two samples.

A.4

To learn to calculate hypothesis tests for the mean and ratio for one sample and the difference between two samples.

2 . Mental skills .

B.1

The student should distinguish between the discrete random variable and the continuous random variable

B.2

The student should be able to solve problems related to some mathematical predictions and probability distributions.

B.3

The student should be able to solve problems related to confidence intervals for the mean, ratios for one sample, and the difference between two samples .

B.4

The student should be able to solve problems related to hypothesis tests for the mean and the ratio of one sample and the difference between two samples.

3 . Practical and professional skills .

C.1

Ability to calculate some probabilities for discrete and continuous variables.

C.2

Ability to solve problems related to certain predictions and probability distributions.

C.3

Ability to solve problems related to confidence intervals for the mean, the ratio for one sample, and the difference between two samples .

C.4

distinguish between calculating hypothesis tests for the mean of a sample and the difference between the mean of two samples and the ratio and the difference between two ratios.

4. General and imparted skills .

D.1

Proper communication between students and the professor to understand the course.

D.2

Collaboration between students to solve problems in convincing scientific ways.

D.3

Proper use of the calculator to solve problems practically.

Teaching and learning methods

1- Lectures.

2- Solve the exercises practically.

Methods of assessments

Rating No.

Evaluation methods

Evaluation Duration

Evaluation weight

Percentage

Rating Date (Week)

First Assessment

First midterm exam

Two hours

25

25%

Sixth

Second Assessment

Second Midterm Exam

Two hours

25

25%

Twelfth

Final Evaluation

Final Exam

Two hours

50

50%

By table

Total

100 degree

100%

course (contents)

Scientific topic

Number of Hours

Lecture

Exercises

Number of weeks

Random variables and probability distributions

10

6

4

2

Mathematical expectation and its characteristics

5

3

2

1

Some discrete special probability distributions

5

3

2

1

Some special probability distributions connected

5

3

2

1

Preview distributions

15

10

5

3

Estimate by point and estimate by period

15

10

5

3

Hypothesis Tests

15

10

5

3

· Frequency Distributions: Organizing Data – Array and Frequency Tables – relative and Cumulative Frequency Tables – Graphical Representations

· Measures of Central Tendency: The arithmetic Mean – Median – Mode – Geometric Mean - Harmonic Mean – Quartiles – Deciles – Percentiles.

· Measures of Dispersion: The Range, Mean Deviation, Standard Deviation, Coefficient of Variation and Coefficient of Quartile Variation, Measures of Skewness and Kurtosis.

· Random Variables and Probability Distributions: Concept of Random variable – Probability Function of Random Variable (Discrete and Continuous) - Binomial – Poisson – Normal - t-distributions – Chi-square and F-Distribution.

· Estimation: Concept of Point and Interval Estimation – Estimating the Population Variance and Estimating the Ratio of Two Variances.

· Testing of Hypotheses: Statistical Hypotheses: General Concepts – Testing a Statistical Hypothesis – The Use of P-Values for Decision Making in testing Hypotheses – One and Two Samples: Single Mean, Two Means, Single Proportion, Two Proportions, Single Variance and Two Variances.

· Simple Linear Regression and Correlation: The Simple Linear Regression Model – Least Squares and Fitted Model – Inferences Concerning the Regression Coefficients – Prediction – Simple Correlation – Rank and Rank Correlation.

(References)

Bibliography

Publisher

Version

Author

Where it is located

Rapporteur notes

Explanatory note prepared by the course instructor

Textbooks

Statistics, Probability, Theory and Practice

2000

Dr. Ali Al-Ammari / Dr. Ali Al-Ojaili

College Library & Sales

Help Books

Scientific Journals

Internet Sites