Show that E [ X – m]3 = E(X)3 - 3m, o? - m? where m, and o are the mean and
variance of X respectively.
Redo exercises 7 and 8 in section 8.3 of your
textbook, about the small animal who lives in an area
with woods and meadows, using the following data:
If the animal is in the woods on one observation, then it
is four times as likely to be in the woods as the
meadows on the next observation. If the animal is in the
meadows on one observation, then it is as likely to be in
the meadows as the woods on the next observation.
Assume that state 1 is being in the meadows and that
state 2 is being in the woods.
(1) Find the transition matrix for this Markov process.
P =
(2) If the animal is twice as likely to be in the meadows
as in the woods, find the state vector X that represents
this information?
(3) Using the state vector determined in the preceding
part as the initial state vector, find the probability that
the animal is in the meadow on the third observation
after the initial one.
(4) If the probability that the animal will be the meadow
at a specific point in time is 0.05, how many…
S(E
dr
Chapter 6 Solutions
Finite Mathematics & Its Applications (12th Edition)
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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