Question
A particular DNA sequence consists of 100 nucleotides, which must be A, C, G, or T. A mutation changes one of the nucleotides to one
A particular DNA sequence consists of 100 nucleotides, which must be A, C, G, or T. A mutation changes one of the nucleotides to one of the other three possibilities, each with probability 1/3. The number of mutations in a century has a Poisson distribution with parameter 0.8.
(a) What is the expected number of differences between the sequence and the sequence 200 years later.
If the number of mutations is n, then the expected number of differences is 75( 1 - (74/45)^n). Relate the formula to the moment generating function for Poisson distribution.
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