The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester. (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. Nursing Majors Non-nursing majors Total D 1155 2416 3571 Males Females Total 99 737 836 1056 1679 2735 (a) Find the probability that a randomly selected student is male, given that the student is a nursing major. The probability is (Round to three decimal places as needed.)

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The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester.

**Table:**

|                     | Nursing Majors | Non-nursing Majors | Total |
|---------------------|----------------|-------------------|-------|
| Males               | 99             | 1056              | 1155  |
| Females             | 737            | 1679              | 2416  |
| Total               | 836            | 2735              | 3571  |

**Questions:**

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

- The probability is \(\underline{\hspace{2cm}}\).

(Round to three decimal places as needed.)
Transcribed Image Text:The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester. **Table:** | | Nursing Majors | Non-nursing Majors | Total | |---------------------|----------------|-------------------|-------| | Males | 99 | 1056 | 1155 | | Females | 737 | 1679 | 2416 | | Total | 836 | 2735 | 3571 | **Questions:** (a) Find the probability that a randomly selected student is male, given that the student is a nursing major. - The probability is \(\underline{\hspace{2cm}}\). (Round to three decimal places as needed.)
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Step 1

Given:

  Nursing Major Non-nursing Major Total
Males 99 1056 1155
Females 737 1679 2416
Total 836 2735 3571
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