The table below shows the number of male and students enrolled in nursing at a u

Question

The table below shows the number of male and students enrolled in nursing at a university for a certain semester. A student is selected at random. Complete parts (a) through (d). (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. Yes, because there are 99 males majoring in nursing. B. No, because there are 99 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(Male or being nursing major) = (1115 + 600)/3440 = 0.499

b) P(Female or not being nursing major) = (2325 + 1016)/3440 = 0.971

c) P(Not being female or being aa nursing major) = (1115 + 600)/3440 = 0.499

d) Option B is correct.

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