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Historically, the SAT score is normally distributed with a mean of 1517 points and a standard deviation of 340.4 points. Let X be the SAT score of a randomly selected student. 1. Describe the probability distribution of X and state its parameters y and o Q ./ Select an answer [T C], = [j) 2. Find the probability that the SA elected student is a. less than 1782 points. D t decimal places) b. between 1104 and 1553 poin swer to 4 decimal places) c. more than 2153 points. 4 decimal places) y v ' 2. Find the probability that the SAT score of a randomly selected student is a. less than 1782 points. (Round the answer to 4 decimal places) b. between 1104 and 1553 points. (Round the answer to 4 decimal places) c. more than 2153 points. (Round the answer to 4 decimal places) Suppose that the outstanding credit card balance of a randomly selected young man has an unknown distribution with a mean of 660 dollars and a standard deviation of 121.2 dollars. Let X be the outstanding credit card balance for a randomly selected young man and let X bethe average outstanding credit card balance for a random sample of size 54. 1. Describe the probability distribution of X and state its parameters w and o: . Select an answer [T E], o= D) X2 and find the probability that the o palance for a randomly selected young man is between 743 and 836 dollars. - | F 0 4 decimal places) 5} 2. Use the Central Limit Theorem W o Lo\\ 4] 2. Use the Central Limit Theorem v Select an answer the sample size is small (n30) although the distribution of the original population is unknown the distribution of the original population is unknown and find the probability that the average outstanding credit card balance for a sample of 54 randomly selected young men is less than 691 dollars. D (Round the answer to 4 decimal places) to describe the probability distribution of X and state its parameters u and o: (Round the answers to 1 decimal place) X ~ Select an answer ) ( x and find the probability that the average outstanding credit card balance for a sample of 54 randomly selected young men is less than 691 dollars. (Round the answer to 4 decimal places)