According to the Environmental Protection Agency, the weight of a daily waste for a US household has a normal distribution with a mean of 4 lbs and a standard deviation of 0.4 lbs. Let X be the weight of a daily waste for a randomly selected a US household and let S be the total weight of a daily waste for a random sample of size 15. 1. Describe the probability distribution of X and state its parameters y. and 0': Km [Selectananswer VIva: ,0": l and find the probability that the weight of a daily waste for a randomly selected a US household is more than 5 lbs. I {Round the answer to 4 decimal places) .J 2. Use the Central Limit Theorem I Select an answer V I to describe the probability distribution of S and state its parameters #5 and 0'3: (Round the answers to 1 decimal place) SN [Selectananswer VIhuI-gz ,O'SZ ) and find the probability that the total weight of a daily waste for a sample of 15 randomly selected US households is less than 53 lbs. {Round the answer to 4 decimal places)