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). Total 1102 2424 3526 Nursing majors Males Females Total 91 700 791 Non-nursing majors 1011 1724 2735 (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. Pinot 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. 0 A. No, because there are 91 males majoring in nursing. O B. Yes, because one cant be male and a nursing major at the same time. ° C. No, because one cant be male and a nursing major at the same time. 0 D. Yes, because there are 91 males majoring in nursing.

Explanation / Answer

a. Number of people who are males or nursing majors = 91 + 1011 + 700 = 1802

Probability = 1802 / 3526 = 0.511

b. Number of people who are female or not nursing major = 700 + 1724 + 1011 = 3435

Probability = 3435 / 3526 = 0.974

c. Number of people who are not female or a nursing major = 91 + 1011 + 700 = 1802

Probability = 1802 / 3526 = 0.511

d. No, because there are 91 males majoring in nursing.

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