Mathematics · Probability Theory
मान लीजिए कि X एक यादृच्छिक चर (random variable) है जिसका संचयी वितरण फलन (cumulative distribution function) निम्न है: FX(x) = • 0, यदि x < 0 • (x + 2)/5, यदि 0 ≤ x < 2 • 1, यदि x ≥ 2 तो, निम्नलिखित में से कौन सा कथन सत्य है?
- 1t = 1 पर आघूर्ण जनक फलन (moment generating function) MX(t) का मान e2 - 15 है
- 2चेबीशेव असमानता (Chebyshev's inequality) का उपयोग करते हुए P(|X - 45| ≥ 1) की ऊपरी सीमा 5275 है
- 3P(|X - 45| ≥ 1) = 1925
- 4E(X2) = 43✓
सही उत्तर देखें
E(X2) = 43
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