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The Needleman-Wunsch method for aligning DNA sequences

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 12E Chapter 2.5

Statistics for Engineers and Scientists | 4th Edition

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Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

Statistics for Engineers and Scientists | 4th Edition

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Problem 12E

The Needleman-Wunsch method for aligning DNA sequences assigns 1 point whenever a mis-

match 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.

Step-by-Step Solution:

Answer :

Step 1 of 3 :

Given,

 

We have a method called  Needleman - Wunsch method for aligning DNA sequences .

Which  assigns 1 point whenever a mismatch occurs, and 3 points whenever a gap appears in a sequence.

 

We have to assume that the certain conditions, the number of mismatches has mean 5 and standard deviation 2. ( = 5 and  = 5 )

The number of gaps has mean 2 and standard deviation 1.( = 2 and  = 1 )

Let S denotes the Needleman-Wunsch score, then S = X + 3Y


Step 2 of 3

Chapter 2.5, Problem 12E is Solved
Step 3 of 3

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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The Needleman-Wunsch method for aligning DNA sequences