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# Probability and Statistics for Science & Engineering

Course Code: MATH 2260
Faculty: Science & Technology
Department: Mathematics
Credits: 3.0
Semester: 15
Learning Format: Lecture, Tutorial
Typically Offered: Winter
course overview

Introduction to descriptive statistics, laws of probability, distributions of continuous and discrete random variables, inferential statistics, correlation and linear regression. This course rigorously develops statistical theory and is intended for those students who will continue on in applied disciplines or wish to pursue more statistics courses.

### Course Content

1. Descriptive Statistics.
2. Laws of Probability.
3. Distributions of Continuous and Discrete Random Variables.
4. Sampling Distributions and the Central Limit Theorem.
5. Estimation and Hypothesis Testing.
6. Regression and Correlation.

### Methods of Instruction

Lectures, in-class assignments and tutorials.

### Means of Assessment

Evaluation will be carried out in accordance with Douglas College policy.  The instructor will present a written course outline with specific evaluation criteria at the beginning of the semester.  Evaluation will be based on the following criteria:

 Quizzes 0-20% Assignments 0-20% Attendance 0-5% In-class work 0-10% Projects 0-20% Tutorial 0-10% Term tests 20-70% Final exam 30-40%

### Learning Outcomes

Students who complete the course successfully will be able to discuss and solve problems involving the following topics:

• different data types
• graphical representation of data
• numerical measures of a data set’s central and dispersive characteristics
• a sample space and events
• basic probability rules
• independence
• conditional probability
• Bayes’ theorem
• general properties of discrete and continuous random variables and their distributions
• expected value, mean and variance for a random variable with a given distribution
• binomial, hypergeometric and Poisson distributions
• normal, gamma and exponential distributions
• jointly distributed random variables
• covariance and correlation
• distributions for sample means and linear combinations of  independent identically distributed random variables
• central limit theorem
• estimation of a population mean, difference of means, variance,  proportion or a difference of proportions based on sample data
• qualification of a claim regarding a mean, difference of means, variance, proportion or a difference of proportions based on sample data
• scatter plot of bivariate data
• linear regression model for bivariate data
• correlation coefficient of bivariate data
• the use of a significant amount of, and sophisticated level of, technology (such as R, Minitab, SPSS, etc.)

course prerequisites

MATH 1120

### Corequisites

MATH 1220 (must be taken before or concurrently with MATH 2260)

curriculum guidelines

Course Guidelines for previous years are viewable by selecting the version desired. If you took this course and do not see a listing for the starting semester/year of the course, consider the previous version as the applicable version.

course schedule and availability
course transferability

Below shows how this course and its credits transfer within the BC transfer system.

A course is considered university-transferable (UT) if it transfers to at least one of the five research universities in British Columbia: University of British Columbia; University of British Columbia-Okanagan; Simon Fraser University; University of Victoria; and the University of Northern British Columbia.

For more information on transfer visit the BC Transfer Guide and BCCAT websites.

assessments