Chapter 7, Problem 88H

Suppose that the length of research papers is uniformly distributed from ten to 25 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.

a. In words. X = _____________

b. $X\sim$___ ( __, __)

c. ${\mu }_x$ = _____.

d. ${\sigma }_x$ = _____-

e. In words $\bar{X}$ ____________

f. $\bar{X}\sim$ ________

g. In words, ${\displaystyle \sum X}$ =__________

h. ${\displaystyle \sum X}\sim$ ___(__ ,__ )

1. Without doing any calculations, do you think that its likely that the professor will need to read a total of more than 1,050 pages? 1w?

j. Calculate the probability that the professor will need to read a total of more than 1.050 pages.

k. Why is it so unlikely that the average length of the papers will be less than 12 pages?