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he table below shows the number of male and female students enrolled in nursing

ID: 3049605 • Letter: H

Question

he 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 98 1087 1185 Females 742 1668 2410 Total 840 2755 3595 (a) Find the probability that a randomly selected student is male, given that the student is a nursing major. The probability is nothing. (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 nothing. (Round to three decimal places as needed.)

Explanation / Answer

Solution:

given table ,

( a )

probability that a randomly selected student is male, given that the student is a nursing major = 98/840 = 0.1166

( b )

probability that a randomly selected student is a nursing major, given that the student is male = 98/1185 = 0.0827

nursing majors non nursing majors totals male 98 1087 1185 female 742 1668 2410 totals 840 2755 3595