Mathematics · Probability Theory
Let X be a random variable with the cumulative distribution function: FX(x) = • 0, if x < 0 • (x + 2)/5, if 0 ≤ x < 2 • 1, if x ≥ 2 Then, which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
Share:
- 1The value of the moment generating function, MX(t), at t = 1 is e2 - 15
- 2The upper bound of P(|X - 45| ≥ 1), using Chebyshev's inequality, is 5275
- 3P(|X - 45| ≥ 1) = 1925
- 4E(X2) = 43✓
Correct answer
E(X2) = 43
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