Suppose that the length of research papers is uniformly distributed from 9 to 23

Question

Suppose that the length of research papers is uniformly distributed from 9 to 23 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. Enter an exact number as an integer, fraction, or decimal.

3. X =

4.Give the distribution of X

5. Give the distribution of X.

6. Calculate the probability that the professor will need to read a total of more than 950 pages.

Explanation / Answer

1.)DISTRIBUTION FOR X=U(9,23)

Standard Deviation(S.D)=

sqrt{{(B - A)^{2}} / {12}}=>B=23 &A =9 so we get S.D=4.0414

Mean=(9+23)/2=16.

DISTRIBUTION FOR X IS

N(16*55,16)=N(880,16).

sqrt{{(B - A)^{2}} / {12}}=>B=23 &A =9 so we get S.D=4.0414

Mean=(9+23)/2=16.

DISTRIBUTION FOR X IS

N(16*55,16)=N(880,16).

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