Normal Distribution

Oct 2019
27
1
united states
Suppose that the length of research papers is uniformly distributed from 11 to 24 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)Give the distribution of X.
b) Give the distribution of ΣX.
c) Calculate the probability that the professor will need to read a total of more of 1030 pages
 
Mar 2012
557
29
a)
X~U(11, 24)

b)
ΣX~N(962.5, 27.83)

c)
p(ΣX > 1030) = 0.0076
 
Oct 2019
27
1
united states
Thank so much Joshuaa for all your help