A researcher plants 22 seedlings. After one month, independent of the other seedlings, each seedling has a probability of 0.08 of being dead, a probability of 0.19 of exhibiting slow growth, a probability of 0.42 of exhibiting medium growth, and a probability of 0.31 of exhibiting strong growth. What is the expected number of seedlings in each of these four categories after one month? Calculate the probability that after one month:
(a) Exactly three seedlings are dead, exactly four exhibit slow growth, and exactly six exhibit medium growth.
(b) Exactly live seedlings are dead, exactly five exhibit slow growth, and exactly seven exhibit strong growth.
(c) No more than two seedlings have died.