A single strand of a DNA molecule is a sequence of nucleotides. There are four possible nucleotides in each position (step), one of which is cytosine (C). In a particular long strand, it has been observed that C appears in 34.1% of the positions. Also, in 36.8% of the cases where C appears in one position along the strand, it also appears in the next position. 1. What is the probability that a randomly chosen pair of adjacent nucleotides is CC (that has cytosine in both locations). 2. If a position along the strand is not C, then what is the probability that the next position is C? 3. If a position n along the strand is C, what is the probability that position n + 2 is also C? How about position n + 4?

A single strand of a DNA molecule is a sequence of nucleotides. There are four possible nucleotides in each position (step), one of which is cytosine (C). In a particular long strand, it has been observed that C appears in 34.1% of the positions. Also, in 36.8% of the cases where C appears in one position along the strand, it also appears in the next position. 1. What is the probability that a randomly chosen pair of adjacent nucleotides is CC (that has cytosine in both locations). 2. If a position along the strand is not C, then what is the probability that the next position is C? 3. If a position n along the strand is C, what is the probability that position n + 2 is also C? How about position n + 4?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A single strand of a DNA molecule is a sequence of nucleotides. There are four possible nucleotides in eachposition (step), one of which is cytosine (C). In a particular long strand, it has been observed that C appearsin 34.1% of the positions. Also, in 36.8% of the cases where C appears in one position along the strand, italso appears in the next position.1. What is the probability that a randomly chosen pair of adjacent nucleotides is CC (that has cytosinein both locations).2. If a position along the strand is not C, then what is the probability that the next position is C?3. If a position n along the strand is C, what is the probability that position n + 2 is also C? How aboutposition n + 4?4. Answer parts (a)- (c) if C appeared independently in any one position with probability 0.341.
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