2. Explain why the Central Limit Theorem can or can not be applied The Central Limit Theorem for Sample Means be applied because + Select an answer the distribution of the original population is unknown the sample size is large (n>30) although the distribution of the original population is unknown the original population is normally distributed the sample size is small (n10 and n(1-p)>10 Suppose that the outstanding credit card balance of a randomly selected young man has an unknown distribution with a mean of 650 dollars and a standard deviation of 143.9 dollars. Let X be the outstanding credit card balance for a randomly selected young man and let X be the average outstanding credit card balance for a random sample of size 40. 1. Describe the probability distribution of X and state its parameters p and o X ~Select an answer v | ( u = [ . o=[ ') and find the probability that the outstanding credit card balance for a randomly selected young man is less than 738 dollars. | (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem | Select an answer v| to describe the probability distribution of X and state its parameters fiy and y: (Round the answers to 1 decimal place) X ~ [Selectananswer | (py = Lox =| ) and find the probability that the average outstanding credit card balance for a sample of 40 randomly selected young men is less than 621 dollars. : (Round the answer to 4 decimal places) 2. Use the Central Limit Theorem + Select an answer the distribution of the original population is unknown the original population is normally distributed the sample size is large (n>30) although the distribution of the original population is unknown the sample size is small (n