Suppose we have an Erdos-Renyi model G (n, p). Let m be the number of edges of the graph. What is the expected number of edges in terms of n and p? (For the problems in this course, if you arrive at...

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Extracted text: Suppose we have an Erdos-Renyi model G (n, p). Let m be the number of edges of the graph. What is the expected number of edges in terms of n and p? (For the problems in this course, if you arrive at any expressions in terms of binomial coefficients such as \binom {b,k}\, enter a simplified algebraic expression without binomial coefficients. ) E [m] = ((n*(n-1))/2)*p (-): n· (n – 1) If we observe a random realization of this graph model to have m edges, then what is the maximum likelihood estimate for p in terms of n and m? n-1 п — 1