 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ii/paper-4/3k/b/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

Entropy is nonnegative. Gibbs' inequality also gives

H (X_{1}, l d o t s, X_{n}) \leq lo g_{2} ∣ A^{n} ∣ = n lo g_{2} 27.

Divide by

n

and pass to the assumed limit to obtain

0 \leq H_{E} \leq lo g_{2} 27.

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