Mathematics · Probability
यदि π, {1, 2, ..., n} का एक समान रूप से यादृच्छिक (uniformly at random) चुना गया क्रमचय (permutation) है, और Xn(π) स्थिर बिंदुओं की संख्या (समुच्चय {i ≤ n : π(i) = i} की गणनसंख्या) को दर्शाता है, तो प्रत्याशित मानों E(X25) और E(X5) के संबंध में निम्नलिखित में से कौन सा सही है?
- 1E(X25) = [E(X5)]2
- 2E(X25) = E(X5)✓
- 3E(X25) = E(X5) / 5
- 4E(X25) = 5 × E(X5)
सही उत्तर देखें
E(X25) = E(X5)
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