Metadata
Mathematics Graduate Understand Easy
View More
Metadata

  • 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.
Use
Remix
Export
Review & Revise
Statistics
Remixes
100
Shares
100
Downloads
100
Attempts
100
Average Score
100%

Mock data used for demo purposes.