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

Chapter 3, Problem 7E

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QUESTION:

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. (Source: University of Oklahoma Health Sciences Center Office of Institutional Research)

\(\begin{array}{|l|c|c|c|} \hline & \text { Nursing majors } & \text { Non-nursing majors } & \text { Total } \\ \hline \text { Males } & 94 & 1104 & 1198 \\ \text { Females } & 725 & 1682 & 2407 \\ \hline \text { Total } & 819 & 2786 & 3605 \\ \hline \end{array}\)

(a) Find the probability that a randomly selected student is male, given that the student is a nursing major.

(b) Find the probability that a randomly selected student is a nursing major, given that the student is male.

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QUESTION:

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. (Source: University of Oklahoma Health Sciences Center Office of Institutional Research)

\(\begin{array}{|l|c|c|c|} \hline & \text { Nursing majors } & \text { Non-nursing majors } & \text { Total } \\ \hline \text { Males } & 94 & 1104 & 1198 \\ \text { Females } & 725 & 1682 & 2407 \\ \hline \text { Total } & 819 & 2786 & 3605 \\ \hline \end{array}\)

(a) Find the probability that a randomly selected student is male, given that the student is a nursing major.

(b) Find the probability that a randomly selected student is a nursing major, given that the student is male.

ANSWER:

 

Step 1 of 2:

The data about the number of male and female students enrolled in nursing at the University of Oklahoma is given.

\(\begin{array}{|l|l|l|l|} \hline & \text { Nursing majors } & \text { Non-nursing major } & \text { Total } \\ \hline \text { Males } & 94 & 1104 & 1198 \\ \hline \text { Females } & 725 & 1682 & 2407 \\ \hline \text { Total } & 819 & 2786 & 3605 \\ \hline \end{array}\)

  1. We have to find the probability that a randomly selected student is male, given that the student is a nursing major.

  2. We have to find the probability that a randomly selected student is a nursing major, given that the student is a male.

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