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Statistics / OpenIntro Statistics 3 / Chapter 2 / Problem 2.21

OpenIntro Statistics | 3rd Edition | ISBN: 9781943450039 | Authors: David M Diez; Christopher D Barr; Mine Çetinkaya-Rundel

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Drawing box plots. After an introductory statistics

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QUESTION:

Drawing box plots. After an introductory statistics course, 80% of students can successfully construct box plots. Of those who can construct box plots, 86% passed, while only 65% of those students who could not construct box plots passed.

(a) Construct a tree diagram of this scenario.

(b) Calculate the probability that a student is able to construct a box plot if it is known that he passed.

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QUESTION:

Drawing box plots. After an introductory statistics course, 80% of students can successfully construct box plots. Of those who can construct box plots, 86% passed, while only 65% of those students who could not construct box plots passed.

(a) Construct a tree diagram of this scenario.

(b) Calculate the probability that a student is able to construct a box plot if it is known that he passed.

ANSWER:

Step 1 of 3

(a)

Given,

The students who can successfully construct box plots = 80%.

The students who can construct box plots and passed = 86%

The students who can’t construct box plots and passed = 65%

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