Question

The registrar of a law school has compiled the following statistics on the progress of the school's students working toward the LLB degree: Of the first-year students in a particular year, 79% successfully complete their course of studies and move on to the second year, whereas 21% drop out of the program; of the second-year students in a particular year, 92% go on to the third year, whereas 8% drop out of the program; of the third-year students in a particular year, 98% go on to graduate at the end of the year, whereas 2% drop out of the program.

(a) Construct the transition matrix associated with the Markov process. (Label your matrix using this order: Drop out, Graduate, First-Year, Second-Year, Third-Year)

(b) Find the steady-state matrix. (Round your answers to four decimal places.)

(c) Determine the probability that a beginning law student enrolled in the program will go on to graduate. (Round your answer to four decimal places.)

Answer 1

	Year1 0.79	Year2 0.92	Year3 0.98
State Probability	0	1	2	3
P(success)	1	0.79	0.79*0.92=0.7268	0.7268*0.98=0.71226
	0	0.21	1-0.7268=0.2732	1-0.71226=0.28774
matrix
( 1   0)(0.79 0.21)	P1
P1*(0.92    0.08)	P2
P2*(0.98   0.02)	P3

c)

Probability=0.71226

------------------------------------

DEAR STUDENT,

IF YOU HAVE ANY QUERY ASK ME IN THE COMMENT BOX,I AM HERE TO HELPS YOU.PLEASE GIVE ME POSITIVE RATINGS

*****************THANK YOU***************