he human genome are extremely G- leotides there are guanine and cyto h proportion of the DNA nucleotide nt to compare nucleotide sequences cleotides in the first region are G-C % each of adenine and thymine). T cleotides. you choose a single nucleotide at r ty that they are the same nu

Linear Algebra: A Modern Introduction
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Chapter2: Systems Of Linear Equations
Section2.4: Applications
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). The human genome is composed of the four DNA nucleotides: A, T, G, and C. Some regions
of the human genome are extremely G-C rich (i.e., a high proportion of the DNA
nucleotides there are guanine and cytosine). Other regions are relatively A-T rich (i.e., a
high proportion of the DNA nucleotides there are adenine and thymine). Imagine that you
want to compare nucleotide sequences from two regions of the genome. Sixty percent of the
nucleotides in the first region are G-C (30% each of guanine and cytosine) and 40% are A-T
(20% each of adenine and thymine). The second region has 25% of each of the four
nucleotides.
a. If you choose a single nucleotide at random from each of the two regions, what is the
probability that they are the same nucleotide?
b. Assume that nucleotides over a single strand of DNA occur independently within regions
and that you randomly sample a three-nucleotide sequence from each of the two regions.
What is the chance that these two triplets are the same?
Transcribed Image Text:). The human genome is composed of the four DNA nucleotides: A, T, G, and C. Some regions of the human genome are extremely G-C rich (i.e., a high proportion of the DNA nucleotides there are guanine and cytosine). Other regions are relatively A-T rich (i.e., a high proportion of the DNA nucleotides there are adenine and thymine). Imagine that you want to compare nucleotide sequences from two regions of the genome. Sixty percent of the nucleotides in the first region are G-C (30% each of guanine and cytosine) and 40% are A-T (20% each of adenine and thymine). The second region has 25% of each of the four nucleotides. a. If you choose a single nucleotide at random from each of the two regions, what is the probability that they are the same nucleotide? b. Assume that nucleotides over a single strand of DNA occur independently within regions and that you randomly sample a three-nucleotide sequence from each of the two regions. What is the chance that these two triplets are the same?
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