1. The owner of a one-man lawn mowing business owns two old and unreliable riding mowers. As long as one of the two is working he can stay productive. From past experience, one of the mowers is unusable 10 percent of the time, and one 20 percent of the time. Hints for the three problems below: It may help to write out the list of all possible outcomes of this random process. Also, remember that the probabilities of outcomes add, and that independent probabilities multiply. (a) Find the probability that both two mowers are unusable on a given day. (b) What is the probability that EXACTLY one of the mowers is functional on a given day? (c) What is the probability that the owner can stay productive on a given day