The table below shows the number of male and female students enrolled in nursing
ID: 3178721 • Letter: T
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). (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 98 males majoring in nursing. B. Yes, because one can't be male and a nursing major at the same time. C. No, because there are 98 males majoring in nursing. D. No, because one can't be male and a nursing major at the same time.Explanation / Answer
a) P(male or nursing major) = P(male) + P(nursing major) - P(male and nursing major)
= (1117 / 3446) + (698/3446) - (98/3446)
= 0.498
b) P(female or not nursing major) = P(female) + P(not nursing major) - P(female and not nursing major)
= (2329/3446) + (2748/3446) - (1729/3446)
= 0.972
c) P(not a female or nursing major) = P(male or nursing major)
= 0.498
d) Option-C) No, because there are 98 males majoring in nursing.
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