2. Power companies manage tree growth near their lines to avoid power failures and wildfires due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical is known to kill 20% of all sycamore trees. The power company tests the chemical on 260 sycamores. Consider these an SRS from the population of all sycamore trees. a.) Describe the sampling distribution of sample proportions of sycamore trees killed in random samples of 260 trees. b.) What is the probability of obtaining a sample of 260 sycamores where at least 60 trees are killed