Exercise 7.7.11 Suppose that the length of research papers is uniformly distributed from 10to25pages. We survey a class in which 55 researchpapers were turned in to a professor. The 55 research papers are considered a random collection of allpapers. We are interested in the average length of the researchpapers. a. In words, X = b. X~ c. X = d. X = e. In words, X = f. X~ g. In words, X = h. X~ i. Without doing any calculations, do you think that it's likely that the professor will need to read a total of more than 1050pages? Why? j. Calculate the probability that the professor will need to read a total of more than 1050pages. k. Why is it so unlikely that the average length of the papers will be less than 12pages?