Consider the lemmings described in Section 6.2, Exercise 28, where a lemming has a probability 0.2 of jumping off the cliff each hour and a probability 0.1 of crawling back up. Suppose that five lemmings start at top. Find the probability that more than half of the lemmings are at the bottom after 1 h, after 2 h, and after a long time.
Find the probabilities of the above events.