23 'I' The average student Loan debt for college graduates is $25,950. Suppose that that distribution is normal and that the standard deviation is $13,550. Let X = the student loan debt of a randomly selected college graduate. Round all probabilities to 4 decimal places and all dollar answers to the nearest dollar. a. What is the distribution of X? X ~ N{ 25950 J', 13550 J} c1\" :31\" b Find the probability...r that the college graduate has between $12,100 and 334,400 in student loan debt. | 0.45m I o\" c. The middle 1033 of college graduates' Loan debt lies between what two numbers? Low: 5 242412935 X High: S 22652.?[156 X 25 I' On the planet of Mercury, 4-year-olds average 2.9 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.5 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X the child spends alone per day. (Source: San Jose Mercury News] Round all answers to 4 decimal places where possible. ,[15 VII]. :1" o" b. Find the probability that the child spends less than 2.3 hours per day unsupervised. I 0.3448 J o" a. What is the distribution of X? 3:: ~ NI[ 2.9 y! c. What percent of the children spend over 2 hours per day unsupervised. T258 3-: rs\" [Round to 2 decimal places} d. 8193 of all children spend at least how many hours per day unsupervised? 4.2188 X hours