Mathematics · Probability
मान लीजिए कि X एक गैर-ऋणात्मक यादृच्छिक चर (non-negative random variable) है जिसका प्रत्याशित मान E[X] = 1 है। एक उत्तल फलन (convex function) पर जेन्सेन के असमानता नियम (Jensen's inequality) को लागू करने पर, निम्नलिखित में से कौन सी मात्रा अनिवार्य रूप से 1 से अधिक या उसके बराबर है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1E[1/X]✓
- 2E[√X]
- 3(E[cos(X)])2 + (E[sin(X)])2
- 4E[X4]
सही उत्तर देखें
E[1/X]
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