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Education: College of Nursing At Litchfield College of

Understandable Statistics | 9th Edition | ISBN: 9780618949922 | Authors: Charles Henry Brase, Corrinne Pellillo Brase ISBN: 9780618949922 213

Solution for problem 26 Chapter 4.2

Understandable Statistics | 9th Edition

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Understandable Statistics | 9th Edition | ISBN: 9780618949922 | Authors: Charles Henry Brase, Corrinne Pellillo Brase

Understandable Statistics | 9th Edition

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Problem 26

Education: College of Nursing At Litchfield College of Nursing, 85% of incoming freshmen nursing students are female and 15% are male. Recent records indicate that 70% of the entering female students will graduate with a BSN degree, while 90% of the male students will obtain a BSN degree. If an incoming freshman nursing student is selected at random, find (a) P(student will graduate student is female). (b) P(student will graduate and student is female). (c) P(student will graduate student is male). (d) P(student will graduate and student is male). (e) P(student will graduate). Note that those who will graduate are either males who will graduate or females who will graduate. (f) The events described by the phrases will graduate and is female and will graduate, given female seem to be describing the same students. Why are the probabilities P(will graduate and is female) and P(will graduate female) different?

Step-by-Step Solution:

Problem 26

Education: College of Nursing At Litchfield College of Nursing, 85% of incoming freshmen nursing students are female and 15% are male. Recent records indicate that 70% of the entering female students will graduate with a BSN degree, while 90% of the male students will obtain a BSN degree. If an incoming freshman nursing student is selected at random, find

(a) P(student will graduate | student is female).

(b) P(student will graduate and student is female).

(c) P(student will graduate |student is male).

(d) P(student will graduate and student is male).

(e) P(student will graduate). Note that those who will graduate are either males who will graduate or females who will graduate.

(f) The events described by the phrases “will graduate and is female” and “will graduate, given female” seem to be describing the same students. Why are the probabilities P(will graduate and is female) and P(will graduate | female) different?

Step by step solution:

Step 1:

Given data,

P(student is female) =  =

P(student is male) =  =

P(student will graduate| student is female)  =  =

P(student will graduate| student is male) =  =

Step 2 of 7

Chapter 4.2, Problem 26 is Solved
Step 3 of 7

Textbook: Understandable Statistics
Edition: 9
Author: Charles Henry Brase, Corrinne Pellillo Brase
ISBN: 9780618949922

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Education: College of Nursing At Litchfield College of