Mathematics · Mathematical Statistics
Let (X1, Y1), (X2, Y2), ..., (X10, Y10) be a random sample from a bivariate normal distribution BVN(μ1, μ2, σ12, σ22, ρ) with μ1=5, μ2=6, σ12=4, σ22=9 and ρ=1/2. Then, which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1The distribution of 1√7 ∑i=110 (Xi - Yi + 1) is N(0, 10)✓
- 2The distribution of 119 ∑i=110 (Xi + Yi - 11)2 is a χ2-distribution with 10 degrees of freedom
- 3The distribution of 2√2(X1 - 5)√∑i=310(Xi - 5)2 is a t-distribution with 9 degrees of freedom
- 4The distribution of 2 ∑i=13(Yi - 6)2∑i=49(Yi - 6)2 is an F-distribution with 3 and 6 degrees of freedom
Correct answer
The distribution of 1√7 ∑i=110 (Xi - Yi + 1) is N(0, 10)
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 Mathematical Statistics MCQs →Want more practice questions on Mathematical Statistics?
Solve complete topic-wise tests with detailed solutions on GkGet.
Related Practice Questions
Recommended practice questions in Mathematics · Mathematical Statistics