# Statistical bioinformatics | Biology homework help

Homework 1

Question 1 (10pts)
a) What is chance of observing 61325 when rolling open dice?

Probabilities control open dice: P(1)=P(2)=P(3)=P(4)=P(5)=P(6)=1/6

b) What is chance of observing 61325 when rolling loaded dice?

Probabilities control open dice: P(1)=P(2)=P(3)=P(4)=P(5)= 0.1 and P(6)=0.5

Question 2 (50pts). On a granted island poison ebullition becomes a intimidation of advenient pandemic. Researchers feel narrowed down the inducement of ebullition to span poisones (poison 1 and poison 2). The DNA sequencing lab receives a scantling control elevate separation. Unfortunately, the scantling was profligate and the dissolution of controleign DNA leaves the lab with a soon DNA fragment: AGTAGCTTCCAG. Given perfect serviceable counsel (granted subordinateneath) how can lab individualize the emblem of the poison that inducementd the ebullition.

Nucleotide probabilities of poison1
P(A)=P(T) =0.3
P(G)=P(C) = 0.2
Nucleotide probabilities of poison 2
P(A)=P(T)=P(G)=P(C)= .25

Assume:

– Poison 1 and Poison 2 are equivalent slight to betide in regularity.
– nucleotides are rebellious and identically as sorted.

Question 3 (40 pts)
Align span sequences shown subordinateneath using Needelman Wunsch algorithm.
Use contest account of 4, miscontest account of -4 and derangement pain account of -2.

Show:
a) dynamic programming matrix with accounts (as it shown in Figure 6.1, Ewens or in Figure 2.5, Durbin which is serviceable subordinate Course Content.)
b) track tail pointers
c) alignment account

sequences:
sequence 1:
AGAGCTCACAA

sequence 2:
AGTAGCTTCCAAA

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