Here is the python code for the questions in the Video 2

*Matrix-Vector Products:*

*The matrix below gives the probabilities of moving from 1 health state to another in 1 year. If the current health states for a group are:*

*85% asymptomatic*

*10% symptomatic*

*5% AIDS*

*0% death*

*what will be the % in each health state in 1 year?*

import numpy as np

stochasticMtx = np.array ([[0.9, 0.07, 0.02, 0.01],

[0, 0.93, 0.05, 0.02],

[0, 0, 0.85, 0.15],

[0, 0, 0, 1]])

print (stochasticMtx)

initial_state = np.array ([0.85, 0.1, 0.05, 0]).reshape (1, 4)

print (stochasticMtx.shape)

print (initial_state.shape)

state_after_1_year = initial_state.dot (stochasticMtx)

print (state_after_1_year)