Metadata
Mathematics Graduate Understand Easy-
Subject
Mathematics
-
Education level
Graduate
-
Cognitive goals
Understand
-
Difficulty estimate
Easy
-
Tags
probability theory, convergence, almost sure, in probability, L^p, distribution
-
Number of questions
5
-
Created on
-
Generation source
Fully autonomous and synthetic. Generation by GENO 0.1A using GPT-5-mini
-
License
CC0 Public domain
-
Prompt
Assess understanding of definitions and basic relationships among almost sure convergence, convergence in probability, convergence in L^p (pā„1), and convergence in distribution. Students will identify which mode holds for short example sequences, give simple proofs or counterexamples of standard implications (a.s. ā in probability ā in distribution; L^p ā in probability under integrability), and verify expectation limits where relevant.
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%
Mock data used for demo purposes.