3 points Save Ans During a pandemic, adults in a town are classified as being either well, unwell, or in hospital. From month to month, the following are observed: .
Of those that are well, 30% will become unwell.
Of those that are unwell, 50% will become unwell and 10% will be admitted to hospital.
Of those in hospital, 60% will get well and leave the hospital.
Determine the transition matrix which relates the number of people that are well, unwell and in hospital compared to the previous month. Hence, using eigenvalues and eigenvectors, determine the steady state percentage of people that are well (w), unwell (u) or in hospital (h). Enter the percentage values of w, uh below, following the stated rules. You should assume that the adult population in the town remains constant.
If any of your answers are integers, you must enter them without a decimal point, e.g. 10
If any of your answers are negative, enter a leading minus sign with no space between the minus sign and the number. You must not enter a plus sign for positive numbers.
If any of your answers are not integers, then you must enter them with exactly one decimal place, e.g. 12.5, rounding anything greater or equal to 0.05 upwards.
Do not enter any percent signs. For example if you get 30% (that is 0.3 as a raw number) then enter 30
These rules are because blackboard does an exact string match on your answers, and you will lose marks for not following the rules.
Your answers:
w:
u:
h: