Assume that the length of research papers is uniformly distributed from 9 to 22 pages. We survey a class in which 55 research papers were turned in to a professor. The 55 research papers are considered a random collection of all papers. We are interested in the average length of the research papers.
1. Give the distribution of X.
2. mean of X
3. Standard deviation X
4. Give the distribution of X (underscore on top) X~
5. Calculate the probability that the professor will need to read a total of more than 920 pages.