PSTAT 210: MEASURE THEORY PROB

University of California, Santa Barbara

Probability spaces: axioms, sigma-algebras, monotone class theorems, construction of probability measures on measurable spaces. Random variables. Expectations (integral Lebesgue). Product spaces and Fubini theorem. L2 spaces of random variables.

Average GPA: 3.77

Grade distribution records: 186 students across 15 terms.

Grade distribution

GradeStudentsPercent
A+3921.0%
A8244.1%
A-2714.5%
B+137.0%
B158.1%
B-10.5%
C+10.5%
D+10.5%
F10.5%
S52.7%
U10.5%

Based on 186 student grade records across 15 terms and 8 professors.

Instructors

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