In: Math
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.)
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).