Mathematics · Probability
मान लीजिए कि X एक वास्तविक मूल्य वाला यादृच्छिक चर (real-valued random variable) है जिससे E[eX] < ∞ और E[eX] = eE[X] है। तो निम्नलिखित में से कौन सा विकल्प सही है?
- 1X ≥ 0 लगभग निश्चित रूप से (almost surely)
- 2Var(X) ≠ 0
- 3E[X3] = (E[X])3✓
- 4सभी a ∞ &DoubleStruckCapitalR; के लिए P(X ≥ a) ≥ eE[X]-a
सही उत्तर देखें
E[X3] = (E[X])3
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