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 55research papers are considered a random collection of all papers. Let X denote theaverage length of the research papers.(a) Calculate the probability that the average length of the papers is at most 17 pageslong. 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 theappropriate 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 been20?

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Description: 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 55research papers are considered a random collection of all papers. Let X denote

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Probability

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

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

A First Course in Probability (10th Edition)

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ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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Question

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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