Question

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	97	1082	1179
Females	750	1633	2383
Total	847	2715	3562

(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.)

Answer 1

SOLUTION :

Only part (a) is visible in the question. Solution is , therefore, for part (a) only.

P(Male | Nursing majors) = 97/847 = 0.115 (ANSWER)

(We select a male from the Nursing majors space)

ALTERNATIVELY :

P(Male | Nursing majors) 

= P(Male and Nursing majors) / P(Nursing majors)

= (97/3562) / (847/3562)

= 97/847= 0.115 (ANSWER).

Answer 2

Solution:-

a) The probability that a randomly selected student is male, given that the student is a nursing major is 0.115.

The number of students who are nursing major = 847

The number of students who are nursing major and male students = 97

The probability that a randomly selected student is male, given that the student is a nursing major = 97/847

The probability that a randomly selected student is male, given that the student is a nursing major is 0.11452