Answer:
a) 360 mice
b) 364 mice
Step-by-step explanation:
Assume :
A = number of infected mice , B = number of non-infected mice
P( infected mice overcoming infection ) = 70% = 0.7
P ( Infected mice not overcoming infection ) = 1 - 0.7 = 0.3
P( mice becoming infected ) = 40% = 0.4
P ( mice not becoming infected ) = 1 - 0.4 = 0.6
Number of infected mice = 400
Number of non-infected mice = 1000 - 400 = 600
step 1 ; express the probabilities in matrix form
step 2 : multiply the matrix above to determine the number of mice that will be infected
<u>a) For next week </u>
PX =
<em>i.e. 360 mice will get infected next week </em>
next 2 week = P ( PX )
= * =
<u>b) In 3 weeks time </u>
P ( P(PX) = *
=
i.e. 364 mice will get infected in 3 weeks time