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

Question

The table below shows the number of male and female students enrolled in nursing at a university for a certain semester. A student is selected at random. Complete parts (a) through (d). Non-nursing majors 1015 1729 2744 Nursing majors Males Females Total 97 600 697 Total 1112 2329 3441 (a) Find the probability that the student is male or a nursing major P(being male or being nursing major)- (Round to the nearest thousandth as needed.) (b) Find the probability that the student is female or not a nursing major. P(being female or not being a nursing major)- (Round to the nearest thousandth as needed.) (c) Find the probability that the student is not female or a nursing major major)- P(not being female or being a nursing (Round to the nearest thousandth as needed.) (d) Are the events "being male" and "being a nursing major mutually exclusive?Explain. O A. O B. O C. O D. Yes, because one can't be male and a nursing major at the same time. Yes, because there are 97 males majoring in nursing No, because there are 97 males majoring in nursing. No, because one can't be male and a nursing major at the same time

Explanation / Answer

From given table,

(a) P(being male or being nursing major)

= 1112/3441 + 697/3441 - 97/3441

=(1112 + 697 - 97) / 3441

=0.498

P(being male or being nursing major) = 0.498

(b) P(being female or not being nursing major)

= 2329/341 + 2744 / 3441 - 1729 / 3441

= (2329 + 2744 - 1729) / 3441

= 3344 / 3441

= 0.972

P(being female or not  being nursing major) = 0.972

(c) P(not being female or being a nursing major)

= P(male or being a nursing major)

= 0.498

P(not being female or being a nursing major) = 0.498

(d) c) No there are 97 males majoring in nursing .

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