Mathematics · Probability and Statistics
माना X1 और X2 यादृच्छिक चर (random variables) हैं जिनके वितरण फलन पूर्णतः सतत (absolutely continuous) हैं। माना hi(t), Xi (i = 1, 2) के जोखिम फलन (hazard function) को दर्शाता है। यदि सभी t ∈ ℝ के लिए h1(t) ≤ h2(t) है, तो निम्नलिखित में से कौन सा कथन निश्चित रूप से सत्य है?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1h(t) = h1(t) + h2(t) हमेशा Y = max{X1, X2} का जोखिम फलन होता है
- 2E(X1) ≤ E(X2), बशर्ते दोनों प्रत्याशाएं (expectations) मौजूद हों
- 3P(X1 > 1) ≤ P(X2 > 0.5)
- 4P(X1 > 1) ≥ P(X2 > 1)✓
सही उत्तर देखें
P(X1 > 1) ≥ P(X2 > 1)
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