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). 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.) Find the probability that the student is female or not a nursing major P(bring female or not being a nursing major) = (Round to the nearest thousandth as needed) 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) Are the events 'being male' and 'being a nursing major' mutually exclusive? Explain Yes, because one can't be male and a nursing major at the same time Yes, because there are 95 males majoring in nursing No, because one can't be male and a nursing major at the same time. No, because there are 95 males majoring in nursing

Explanation / Answer

a) P(male or nursing major) = P(male) + P(nursing major) - P(male and nursing major)

                                        = 1112/3434 + 695/3434 - 95/3434

                                        = 0.499

b) P(female or non-nursing major) = P(female) + P(non-nursing major) - P(female and non-nursing major)

                                       = 2322/3434 + 2739/3434 - 1722/3434

                                       = 0.972

c) P(not female or a nursing major) = P(male or nursing major) = 0.499

d) Option-D) NO because there are 95 males majoring in nursing

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