The mean λ solves λ²+λ=110,so λ=10. The Poisson shift identity proves A. Consecutive probabilities have ratio 10/(k+1),giving C,D. Parity follows from E(−1)^X=e⁻²⁰:the even probability is (1+e⁻²⁰)/2,not divided by 4. **B**.
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