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.)

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.3: Binomial Probability
Problem 32E
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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.
(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.
Total
Nursing Majors
Non-nursing majors
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.)
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. (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. Total Nursing Majors Non-nursing majors 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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