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

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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?

Understand the principles of electron configurations for elements.
Identify the full electron configuration for specific elements.
Recognize incorrect electron configurations.
Understand the basis and historical development of atomic theory.

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