Mathematics · Probability Theory
Suppose X1, X2, … are independent and identically distributed N(0, 1) random variables and Yn = X14 + X24 + … + Xn4. Which of the following probabilities converges to 12 as n → ∞?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1P{Yn ∈ [0, 2n]}
- 2P{Yn ∈ [n, 3n]}✓
- 3P{Yn ∈ [2n, 4n]}
- 4P{Yn ∈ [3n, 5n]}
Correct answer
P{Yn ∈ [n, 3n]}
Download Single Question PDF
Save this question and verified answer as a clean study sheet with live clickable link.
👥
Share with Friends & Study Groups
Challenge your peer aspirants on WhatsApp or Telegram to solve this question!
Online Test Series
Start Free Mock Test →Preparing for Mathematics?
Practice full-length mock tests with real exam timers, instant score analysis, and all-India ranking.
Chapter Practice
Practice Probability Theory MCQs →Want more practice questions on Probability Theory?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Probability Theory