question archive Suppose a groundhog jumps out of its hole (within a 1-minute interval) with probability 0
Subject:StatisticsPrice: Bought3
Suppose a groundhog jumps out of its hole (within a 1-minute interval) with probability 0.2 and goes back inside (within a 1-minute interval) with probability 0.4. If the groundhog starts out inside the hole, answer the following questions.
(a) Let pt be the probability the groundhog is inside the hole after t minutes. Compute pt+1 in terms of pt .
(b) Find the probability the groundhog is outside after two minutes have passed.
(c) Find the long-run probability that the groundhog is inside, that is the equilibrium of the system