MO412 - Angelica

In a network, for nodes of degree  k = 4 k=4 k = 4 , the conditional degree distribution of their neighbors is given by: k ′ k' k ′ P ( k ′ ∣ 4 ) P(k' \mid 4) P ( k ′ ∣ 4 ) 1                     0.1 2                          0.3 3                     0.4 5                     0.2 What is the value of k n n ( 4 ) k_{nn}(4) k nn ​ ( 4 ) , i.e., the average degree of the neighbors of nodes with degree 4? k n n ( k ) = ∑ k ′ k ′ P ( k ′ ∣ k ) k_{nn}(k)=\sum_{k'} k'P(k'\mid k) k nn ​ ( k ) = ∑ k ′ ​ k ′ P ( k ′ ∣ k ) Alternatives: A) 2.7 B) 2.9 C) 3.1 D) 3.4 E) None of the above. Original idea by: Aneglica Santos