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STAT 230 LEC,TST,TUT 0.50  Course ID: 008864 
Probability  
This course provides an introduction to probability models including sample spaces, mutually exclusive and independent events, conditional probability and Bayes' Theorem. The named distributions (Discrete Uniform, Hypergeometric, Binomial, Negative Binomial, Geometric, Poisson, Continuous Uniform, Exponential, Normal (Gaussian), and Multinomial) are used to model real phenomena. Discrete and continuous univariate random variables and their distributions are discussed. Joint probability functions, marginal probability functions, and conditional probability functions of two or more discrete random variables and functions of random variables are also discussed. Students learn how to calculate and interpret means, variances and covariances particularly for the named distributions. The Central Limit Theorem is used to approximate probabilities.  
[Note: STAT 230 is normally taken in second year. Students with an average of at least 80% in Honours Mathematics courses in 1A may enrol in STAT 230 in 1B. To enrol in STAT 231, a grade of at least 50% in STAT 230 is required. However, to enrol in STAT 330, 333, 334, 341 or 340 a grade of at least 60% in STAT 230 is required. Offered: F,W,S]  
Prereq: (MATH 135 with min. grade of 60% or MATH 145)&(MATH 128 with min. grade of 70% or (MATH 117 or 137) with min. grade of 60% or MATH 147)); Level at least 1B Hon Math or Math/Phys students only.  
Coreq: MATH 119 or 138 or 148.  
Antireq: STAT 220, 240  
Also offered Online 
STAT 231 LEC,TST,TUT 0.50  Course ID: 008865 
Statistics  
This course provides a systematic approach to empirical problem solving which will enable students to critically assess the sampling protocol and conclusions of an empirical study including the possible sources of error in the study and whether evidence of a causal relationship can be reasonably concluded. The connection between the attributes of a population and the parameters in the named distributions covered in STAT 230 will be emphasized. Numerical and graphical techniques for summarizing data and checking the fit of a statistical model will be discussed. The method of maximum likelihood will be used to obtain point and interval estimates for the parameters of interest as well as testing hypotheses. The interpretation of confidence intervals and pvalues will be emphasized. The Chisquared and t distributions will be introduced and used to construct confidence intervals and tests of hypotheses including likelihood ratio tests. Contingency tables and Gaussian response models including the two sample Gaussian and simple linear regression will be used as examples.  
[Note: To satisfy any Statistics plan requirement a grade of at least 50% in STAT 231 is required. However, to enrol in STAT 331, 332, 371, 372, or 373, a grade of at least 60% in STAT 231 is required. Offered: F,W,S]  
Prereq: (MATH 119 or 128 or 138 or 148) and (STAT 220 with a grade of at least 70% or STAT 230 or 240); Honours Math or Math/Phys students.  
Antireq: STAT 221, 241  
Also offered Online 
STAT 433 LEC 0.50  Course ID: 008882 
Stochastic Processes  
Point processes. Renewal theory. Stationary processes. Selected topics. [Offered: F]  
Prereq: STAT 333 
STAT 464 LEC 0.50  Course ID: 008891 
Topics in Probability Theory  
Special Topics course as announced by the department.  
Prereq: STAT 333 
STAT 466 LEC 0.50  Course ID: 008892 
Topics in Statistics 1  
Special Topics course as announced by the department.  
Prereq: STAT 330, 331 
STAT 467 LEC 0.50  Course ID: 008893 
Topics in Statistics 2  
Special Topics course as announced by the department.  
STAT 468 RDG 0.50  Course ID: 008894 
Readings in Statistics 1  
Reading course as announced by the department.  
STAT 469 RDG 0.50  Course ID: 010728 
Readings in Statistics 2  
Reading course as announced by the department.  