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(See attached file for full problem description) --- Consider a graph having n vertices labeled 1,2,...n, and suppose that between each of the n 2

(See attached file for full problem description)
---
Consider a graph having n vertices labeled 1,2,...n, and suppose that between each of the  
  n
  2
pairs of distinct vertices an edge is, independently, present with probability p. The degree of vertex i, designated as Di, is the number of edges that have vertex i as one of its vertices.
(a) What is the distribution of Di
(b) Find correlation between Di and Dj
---
(See attached file for full problem description)

Consider a graph having n vertices labeled 1,2,...n, and suppose that
between each of the
n
2
pairs of distinct vertices an edge is, independently, present with
probability p. The degree of vertex i, designated as Di, is the number
of edges that have vertex i as one of its vertices.
(a) What is the distribution of Di
(b) Find correlation between Di and Dj

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