Answer:
State space
Transition probability matrix
The transition graph is attached.
Step-by-step explanation:
The state space for this Markov chain is all the possible states that the variable can take.
In this case the student can be: Freshman, Sophomore, Junior, Senior, Graduate and Drop out
The transition probability matrix for this state space is:
The transition graph is attached.
Answer:
If then
.
If then
.
Step-by-step explanation:
In order to write the polynomial as the product of linear factors, we need to find the roots of the polynomial. A quadratic equation is defined as:
Because the given polynomial expression is a quadratic equation, we can use the following equations for calculating the roots:
Since the second term sign is not given, then we can write the expression as:
, in which a=1, b=s2 where 's' represents a sign (- or +), and c=10.
Using the equation for finding the roots we obtain:
; notice that
; notice that (s2)²=2^2
If we consider 's' as possitive (+) the roots are:
and
Whereas if we consider 's' as negative (-) the roots are:
and
The above means that if the equation is , then we can express the polynomial as:
.
But, if the equation is , then we can express the polynomial as:
.