Quiz: Week 8: MyStatLab Final Exam 7 of 24 This Question: 10 pts The table below

Question

Quiz: Week 8: MyStatLab Final Exam 7 of 24 This Question: 10 pts 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. Males Females Total Nursing Majors Non-nursing majors Total 1200 2381 3581 1101 1679 2780 702 801 (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.) Enter your answer in each of the answer boxes. Save for Later

Explanation / Answer

Solution:

Probability that a randomly selected student is male, given that student is a nursing member =probability of student is male and nursing member/probability of student is nursing member = (99/3581)/(801/3581) = 99/801 = 0.123595 or 12.359%

Solution(b)

Probability that the student is a nursing major given that student is male = (probability of student is male and nursing)/ probability that student is male = (99/3581)/(1200/3581) = 99/1200 = 0.0825 or 8.25%

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