A fly is trapped in a house with three rooms - room A, room B and room C. The fly moves between the rooms in the following manner: From room A, he will next move to B or C with probability 1/2 each; from B, it will next move to A with probability 3/4 and to C with probability 1/4; from C it always goes to room A. Since this fly is a continuous-time Markov fly, it stays for a random amount of time in each room that is exponentially distributed. In particular, it stays in each of the rooms A and B for an exponential amount of time with mean 5 minutes, and in room C for an exponential amount of time with mean 4 minutes. Required:
Construct the rate matrix Q

uhhh idk u yolo?

make sure you have version 2.50

try looking in the very back of the book : )

step-by-step explanation:

you can download it here

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true