Question

Suppose that the length of research papers is uniformly distributed from 12 to 27 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) Round your answer to four decimal places.
σ_X =

b) Give the distribution of x̄ . (Round your standard deviation to three decimal places.)

c) Give the distribution of ΣX. (Round your standard deviation to three decimal places.)

d) Calculate the probability that the professor will need to read a total of more than 1150 pages. (Round your answer to four decimal places.)

Answer 1