In: Statistics and Probability
(i) If volume is high this week, then next week it will be high
with a probability of 0.9 and low with a probability of 0.1.
(ii) If volume is low this week then it will be high next week with
a probability of 0.4.
Assume that state 1 is high volume and that
state 2 is low volume.
(1) Find the transition matrix for this Markov process.
P =
[.9 .1]
[.4 .6]
What is the probability that volume will be high for three consecutive weeks?