Nneetquant

Chebyshev's bound

EasyStatistics~2m

For any random variable with mean μ\mu and variance σ2\sigma^2, what is the Chebyshev upper bound on P(∣X−μ∣≥2σ)P(|X-\mu|\ge 2\sigma)?

Show hints (2)+
  1. Chebyshev: P(|X-mu| >= k sigma) <= 1/k^2.
  2. Plug in k = 2.

Answer

Reveal answer →

0.25

Want the full step-by-step worked solution? It's part of Premium — along with a worked solution for every question in the bank.

Practise freeUnlock solutions

Asked at: Jane Street, SIG

Related questions