Analytical Skills la Given a labeled directed graph N, E,) with N a set of verti

Question

Analytical Skills la Given a labeled directed graph N, E,) with N a set of vertices, E- N × N a set of edges, and i : E L a function assigning labels from a set L to edges. Let source and target be functions on E such that source(s,t) = s and target(s,t) = t. Formally formulate the following properties: i There are no nodes that are target of more than two edges with identical labels ii There is at least one path of length three where all the edges have identical labels 1b (This task is optional) Does a binary operation * exist such that N, +) and Z. *> are isomorphic? Prove your answer. Note: N is the set of natu- ral numbers and Z is the set of integers. Two algebraic structures (A, x and B.31 are isomorphic if and only if a bijection : A B exists such

Explanation / Answer

The insurance company was conducting performance analysis of their claims handling process over the past 6 months and process cycle time was one of their concerns.So they collected a a sample of process cycle time across a number of different claims handling processes.

Now this will follow a multimodal distribution as a normal distribution is generally symetric about the mean and is not skewed. The process cycle time data has been procured over a number of different claims handling processes, those claims handling processes might be quicker or slower depending on various factors like speed of the staff, lesser or more formalitites to be completed etc. and hence it is difficult for this data to be clustered around a given mean time, and hence it will not follow a normal distribution

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