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At a particular two-year college, a student has a probability of 0.30 of flunking out during a given year, a 0.11 probability of having to repeat the...

At a particular​ two-year college, a student has a probability of 0.30 of flunking out during a given​ year, a 0.11 probability of having to repeat the​ year, and a 0.59 probability of finishing the year. Use the states shown to the right to complete parts​(a) through​ (c) below.


A)Write A transition matrix. Find F and FR.


P=

F=

FR=


B) Find the probability that a freshman will flunk out.


The probability that a freshman will flunk out _______.


C)Find the expected number of years that a freshman will be in college before graduating or flunking out.



The expected number of years is _______.

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