4.2. Friendship Paradox The degree distribution p, expresses the probability that a randomly selected node has k neighbors. However, if we randomly select a link, the probability that a node at one of...

could you answer the question please?

Extracted text: 4.2. Friendship Paradox The degree distribution p, expresses the probability that a randomly selected node has k neighbors. However, if we randomly select a link, the probability that a node at one of its ends has degree k is q, = Akp, where A is a normalization factor. (a) Find the normalization factor A, assuming that the network has a power law degree distribution with 2 < y="">< 3,="" with="" minimum="" degree="" kin="" and="" maximum="" degree="" k="" max'="" (b)="" in="" the="" configuration="" model="" q,="" is="" also="" the="" probability="" that="" a="" ran-="" domly="" chosen="" node="" has="" a="" neighbor="" with="" degree="" k.="" what="" is="" the="" av-="" erage="" degree="" of="" the="" neighbors="" of="" a="" randomly="" chosen="" node?="" (c)="" calculate="" the="" average="" degree="" of="" the="" neighbors="" of="" a="" randomly="" cho-="" sen="" node="" in="" a="" network="" with="" n="104," y="2.3," kmin="1" and="" k="1," 000.="" %3d="" %3d="" %3d="" max="" compare="" the="" result="" with="" the="" average="" degree="" of="" the="" network,="" (k).="" (d)="" how="" can="" you="" explain="" the="" "paradox"="" of="" (c),="" that="" is="" a="" node's="" friends="" have="" more="" friends="" than="" the="" node="">