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.
$$ \begin{array}{cccc} & \text { Nursing Majors } & \text { Non-nursing majors } & \text { Total } \\ \text { Males } & 95 & 1086 & 1181 \\ \text { Females } & 724 & 1691 & 2415 \\ \text { Total } & 819 & 2777 & 3596 \end{array} $$
(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.)