Given a transition matrix (P) with four state {A, G, C, T} and given a current state of G: a) calculate the probability of being in state A, G, C and T after 20 steps b) calculate the probability of being in state G at all 20 steps c) calculate the probability of being in state G after 20 steps and having visited at least one other state {A, C, T} during the 19 other transitions pij = 0.01 pii= 0.97 P = np.array( [[pii, pij, pij, pij], [pij, pii, pij, pijl, [pij, pij, pii, pij],[pij, pij, pij, pii]] ) # The states in the first through forth elements correspond to A, G, C, T print (P) [[0.97 0.01 0.01 0.01] [0.01 0.97 0.01 0.01] [0.01 0.01 0.97 0.01] [0.01 0.01 0.01 0.97]] Please provide workable code and show the output for an upvote

Given a transition matrix (P) with four state {A, G, C, T} and given a current state of G: a) calculate the probability of being in state A, G, C and T after 20 steps b) calculate the probability of being in state G at all 20 steps c) calculate the probability of being in state G after 20 steps and having visited at least one other state {A, C, T} during the 19 other transitions pij = 0.01 pii= 0.97 P = np.array( [[pii, pij, pij, pij], [pij, pii, pij, pijl, [pij, pij, pii, pij],[pij, pij, pij, pii]] ) # The states in the first through forth elements correspond to A, G, C, T print (P) [[0.97 0.01 0.01 0.01] [0.01 0.97 0.01 0.01] [0.01 0.01 0.97 0.01] [0.01 0.01 0.01 0.97]] Please provide workable code and show the output for an upvote

Database System Concepts

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ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

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Question

Please provide workable code in python and show the output

Given a transition matrix (P) with four state {A, G, C, T} and given a current state of G:
a) calculate the probability of being in state A, G, C and T after 20 steps
b) calculate the probability of being in state G at all 20 steps
c) calculate the probability of being in state G after 20 steps and having visited at least one other state {A, C, T} during the 19 other transitions
pij = 0.01
pii = 0.97
P = np.array( [[pii, pij, pij, pij], [pij, pii, pij, pij], [pij, pij, pii, pij],[pij, pij, pij, pii]] )
# The states in the first through forth elements correspond to A, G, C, T
print (P)
[[0.97 0.01 0.01 0.01]
[0.01 0.97 0.01 0.01]
[0.01 0.01 0.97 0.01]
[0.01 0.01 0.01 0.97]]
Please provide workable code and show the output for an upvote

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