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Elementary Statistics: Picturing the World | 6th Edition | ISBN: 9780321911216 | Authors: Ron Larson; Betsy Farber
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Solved: Nursing Majors The table shows the number of male

Chapter 3, Problem 23E

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QUESTION:

Problem 23E

Nursing Majors The table shows the number of male and female students enrolled in nursing at the University of Oklahoma Health Sciences Center for a recent semester. A student is selected at random. Find the probability of each event. (Adapted from University of Oklahoma Health Sciences Center Office of Institutional Research)

 

Nursing majors

Non-nursing majors

Total

Males

94

1104

1198

Females

725

1682

2407

Total

819

2786

3605

(a) The student is male or a nursing major.

(b) The student is female or not a nursing major.

(c) The student is not female or is a nursing major.

Questions & Answers

QUESTION:

Problem 23E

Nursing Majors The table shows the number of male and female students enrolled in nursing at the University of Oklahoma Health Sciences Center for a recent semester. A student is selected at random. Find the probability of each event. (Adapted from University of Oklahoma Health Sciences Center Office of Institutional Research)

 

Nursing majors

Non-nursing majors

Total

Males

94

1104

1198

Females

725

1682

2407

Total

819

2786

3605

(a) The student is male or a nursing major.

(b) The student is female or not a nursing major.

(c) The student is not female or is a nursing major.

ANSWER:

Solution :

Step 1 of 3:

Given the number of male and female students table,

Nursing majors

Non-nursing majors

Total

Males

94

1104

1198

Females

725

1682

2407

Total

819

2786

3605

Our goal is:

a). We need to find the probability that the student is male or a nursing major.

b). We need to find the probability that the student is female or not a nursing major.

c). We need to find the probability that the student is not female or is a nursing major.

a). The probability that the student is male or a nursing major is

P(Male or Nursing major) =

P(Male or Nursing major) =

P(Male or Nursing major) =

P(Male or Nursing major) = 0.5334

Therefore, the probability that the student is male or a nursing major is 0.5334.

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