Originally Posted by

**Amsterdamn** Hello all. Its my first time posting so forgive any mistakes.

Got this problem in one of my reviews for a final this week, and can't quite figure it out. The prof kind of rushed this area and it didn't really settle in my mind. Tried it on my own for the past day and haven't been able to make much progress.

Anyway, here is the setup/question.

A group of physical fitness devotes works out in the gym every day .the Workouts vary from strenuous to moderate to light .when their exercise routine was recorded, the following observation was made: of the people who workout strenuously on a particular day, 40% will work out strenuously on the next day and 60% will work out moderately .of the people who work out moderately on a particular day, 50% will work out strenuously and 50% will work out lightly on the next day. Of the people working out lightly on a particular day, 30% will work out strenuously on the next day, 20% moderately, and 50% lightly.

**a)** Set up the 3x3 stochastic matrixes with columns and rows labeled S, M, and L that describes these transitions?

Now for this I have managed to get something, but not sure its correct.

[html]

S M L

S [.4 .5 .3

M .6 0 .2

L 0 .5 .5][/html]