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 of 2, and the number of gaps has mean 2 and standard deviation
1. If the number is independent, then the variance of the Needleman-Wunsch Score is 13, and the variance of the Needleman- Wunsch Score is 3.6055.
2. If the number gaps are dependent on the number of mismatches, would the variance (or standard deviation of the Needleman-Wunsch score) be the same as you calculated in part 2) and 3)? Explain why.