The article "Statistical Method on Nonrandom Clustering with Application to Somatic Mutations in Cancer" [BMC Bioinformatics, 2011,11(1)] developed a statistical method to discover mutations that lead to cancer by identifying nonrandom clusters of amino acidmutations in protein sequences in cells. In this method, N denotes the length of a protein sequence, and n denotes the total number ofmutations in the protein. The position of a mutation is modeled with a discrete uniform distribution between 1 and N. Suppose thatyou are a biomedical engineer working on a protein sequence with two mutations and length N = 1000. Assume that the locations ofthe mutations are independent, and can be the same for two mutations.(a) Determine the probability that the first mutation occurs in the first half of the protein sequence.P =i(b) Determine the probability that both of the mutations occur in the first half of the protein sequence.P =i(c) Determine the probability that at least one of the mutations occurs in the first half of the protein sequence.P =i

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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