Suppose that the length of research papers is uniformly distributed from 10 to 25 pages We survey a class in which 55 research papers were turned into a professor. The 55 research papers are considered a random collection of all papers. Let X denote the average length of the research papers. la) Caloulate the probability that the aVerage lonath of the papers is at most 17 pages

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section: Chapter Questions
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Suppose that the length of research papers is uniformly distributed from 10 to 25 pages.
We survey a class in which 55 research papers were turned into a professor. The 55
research papers are considered a random collection of all papers. Let X denote the
average length of the research papers.
(a) Calculate the probability that the average length of the papers is at most 17 pages
long. Shade the appropriate area on the distribution. Scale and label your axes.
(b) What is the 90th percentile for the average length of the papers? Shade the
appropriate area on the distribution. Scale and label your axes. Use proper units.
(c) How would your answers for parts (a) and (b) change if the sample size had been
20?
Transcribed Image Text:Suppose that the length of research papers is uniformly distributed from 10 to 25 pages. We survey a class in which 55 research papers were turned into a professor. The 55 research papers are considered a random collection of all papers. Let X denote the average length of the research papers. (a) Calculate the probability that the average length of the papers is at most 17 pages long. Shade the appropriate area on the distribution. Scale and label your axes. (b) What is the 90th percentile for the average length of the papers? Shade the appropriate area on the distribution. Scale and label your axes. Use proper units. (c) How would your answers for parts (a) and (b) change if the sample size had been 20?
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