Mathematics · Probability
If π is a permutation of {1, 2, ..., n} chosen uniformly at random, let Xn(π) denote the number of fixed points (cardinality of the set {i ≤ n : π(i) = i}). Which of the following relations regarding the expected values E(X25) and E(X5) is correct?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1E(X25) = [E(X5)]2
- 2E(X25) = E(X5)✓
- 3E(X25) = E(X5) / 5
- 4E(X25) = 5 × E(X5)
Correct answer
E(X25) = E(X5)
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