In a random sequence of double-stranded DNA, the probability that there are n or fewer nucleotide pairs between two successive occurrences of a short sequence motif is given by 1 - (1 - x)ⁿ, where x is the probability of occurrence of the motif along the sequence. When x = 1/512, the mean distance between occurrences is 512 nucleotide pairs. What is the probability that the distance between two occurrences is smaller than the mean?

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The Answer of In a random sequence of double-stranded DNA, the probability that there are n or fewer nucleotide pairs between two successive occurrences of a short sequence motif is given by 1 - (1 - x)ⁿ, where x is the probability of occurrence of the motif along the sequence. When x = 1/512, the mean distance between occurrences is 512 nucleotide pairs. What is the probability that the distance between two occurrences is smaller than the mean?

In a Random Sequence of Double-Stranded DNA, the Probability That