Question: The NeedlemanWunsch method for aligning DNA sequences assigns 1 point whenever a mismatch occurs, and 3 points whenever a gap (insertion or deletion) appears in

The Needleman–Wunsch method for aligning DNA sequences assigns 1 point whenever a mismatch occurs, and 3 points whenever a gap (insertion or deletion) appears in a sequence. Assume that under certain conditions, the number of mismatches has mean 5 and standard deviation 2, and the number of gaps has mean 2 and standard deviation 1.

a. Find the mean of the Needleman–Wunsch score.

b. Assume the number of gaps is independent of the number of mismatches. Find the variance of the Needleman–Wunsch score.

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