The table below shows the number of male and female students enrolled in nursing
ID: 3293562 • 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) for a certain semester A student is selected at random. Complete parts (a) through (d) Non-nursing majors 1015 1727 2742 Nursing majors Total Males Females Total 94 600 694 1109 2327 3436 (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 Plnot 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? EplainExplanation / Answer
Ans:
a)P(male or nursing major)=P(male)+P(nursing major)-P(male and nursing major)
=0.323+0.2-0.027
=0.496
b)P(female or non nursing major)=P(female)+P(non nursing major)-P(female and non nursing major)
=0.677+0.8-0.503
=0.974
c)P(male or non nursing major)=P(male)+P(non nursing major)-P(male and non nursing major)
=0.323+0.8-0.295
=0.828
d)No,both are not mutually exclusive as P(male and nursing major)=0.027,which is non zero.
Nursing Non nursing Total Males 94 1015 1109 Females 600 1727 2327 Total 694 2742 3436 Joint distribution Nursing Non nursing Total Males 0.027 0.295 0.323 Females 0.175 0.503 0.677 Total 0.20 0.80 1Related Questions
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