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).

Nursing majors Non-nursing majors Total

Males 94 1018 1112

Females 600 1727 2327

Total 694 2745 3439

(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.

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

(Round to the nearest thousandth as needed.)

(d) Are the events "being male" and "being a nursing major" mutually exclusive? Explain.

A. No, because there are 94 males majoring in nursing.

B. Yes, because there are 94 males majoring in nursing.

C. No, because one can't be male and a nursing major at the same time.

D. Yes, because one can't be male and a nursing major at the same time.

Explanation / Answer

a )

P (being male or being nursing major) = ( 1112 + 694 - 94 ) /3439

P (being male or being nursing major) = 1712/3439

P (being male or being nursing major) = 0.498

b)

P (being female or not being a nursing major) = ( 2327 + 2745 - 1727 ) / 3439

P (being female or not being a nursing major) = 0.973

c)

P (not being female or being a nursing major) = ( 1112 + 2745 - 1018 ) / 3439

P (not being female or being a nursing major) = 0.826

d)

No, because there are 94 males majoring in nursing.

Nursing majors Non-nursing majors Total Male 94 1018 1112 Female 600 1727 2327 Total 694 2745 3439

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.