STAT 324 - Probability and Statistics for Engineers

Credit Hours: 3 (2+1)
 

Text Book:
· Probabilities and Statistics in the Engineering and Computer Science.
· Engineering Statistics.
 

Summary of the main learning outcomes for students enrolled in the course:

Students enrolled in this course will be able to:

1. Determine the sample space for any trial

2. Define the random variables (discrete and continuous distributions).

3. Find the mean (mathematical expectation) and the variance of a random variable.

4. Know the properties of the famous discrete distributions (Uniform, Binomial, Hyper geometric, Poisson).

5. Know the properties of the famous of continuous distributions (Uniform, Exponential, Normal).

6. Find the unknown population parameters by estimation methods: Point estimation, Confidence interval estimation.

7. Conduct the Hypotheses Testing (single Population parameter (mean, proportion, difference between two means and difference between two proportions of independent populations).

Course Description:
The topics to be covered are
- Introduction and some simple discussion related to sample space, events.
- Definition of sample space, counting sample points, random events, Probability rules and additive rule.
- Conditional probability, multiplication rule, independent events.
- Total probability rule, Baye’s rule.
- Random variables, Discrete and continuous distributions.
- Mean and variance of a random variable. Mean of linear combination of random variables.
- Some of the common Discrete Distributions: Uniform, Binomial, Hyper geometric, Poisson distributions.

- Some of the common Continuous Distributions: Uniform, Exponential, Normal distributions.

- Applications of the normal distribution. Random sampling, Some important sample statistics.

- Sampling distribution of the mean from normal distribution with known and unknown variance, t-distribution, Statistical inference, Classical estimation, Estimation of a single population mean, Standard error of a point estimate.

- Estimating a confidence interval for: single population mean, the difference between two independent samples means, single population proportion.

- Estimating confidence interval for the difference between two proportions. Introducing the principles of Testing Hypothesis

- The first and the second type oferrors, Testing hypothesis about : Single population mean, Difference between two independent populations' means.

- Testing hypothesis about: Single population proportion, Difference between two populations' proportions.

- Simple Linear correlation, Simple Linear Regression, Least square method for estimating and getting inference about regression coefficients.

Prerequisite: None.