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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 2.5 - Problem 12e
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 2.5 - Problem 12e

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# The Needleman-Wunsch method for aligning DNA sequences ISBN: 9780073401331 38

## Solution for problem 12E Chapter 2.5

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:

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

Step 3 of 3

##### ISBN: 9780073401331

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