The table below shows the number of male and female students enrolled in nursing at a particular university for a recent 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 1071 95 1166 Males 748 1603 2351 Females Total 843 2674 3517 (a) Find the probability that a randomly selected student is male, given that the student is a nursing major. The probability is. (Round to thrée decimal places as needed.) (b) Find the probability that a randomly selected student is a nursing major, given that the student is male. 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.

|                   | Nursing Majors | Non-nursing Majors | Total  |
|-------------------|----------------|--------------------|--------|
| Males             | 95             | 1071               | 1166   |
| Females           | 748            | 1603               | 2351   |
| Total             | 843            | 2674               | 3517   |

(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.)

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

The probability is [ ]

(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. | | Nursing Majors | Non-nursing Majors | Total | |-------------------|----------------|--------------------|--------| | Males | 95 | 1071 | 1166 | | Females | 748 | 1603 | 2351 | | Total | 843 | 2674 | 3517 | (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.) (b) Find the probability that a randomly selected student is a nursing major, given that the student is male. The probability is [ ] (Round to three decimal places as needed.)
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