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.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 55E
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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.
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 thrèe 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. (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 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 thrèe 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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