a) Find the probability that the student is male or a nursing major. (b) Find th

Question

a) Find the probability that the student is male or a nursing major.

(b) Find the probability that the student is female or not a nursing major.

(c) Find the probability that the student is not female or a nursing major.

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) Nursing majors Males Females Total 93 600 693 Non-nursing majors 1013 1723 2736 Total 1106 2323 3429

Explanation / Answer

Ans:

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

=0.323+0.202-0.027

=0.498

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

=0.677+0.798-0.502

=0.973

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

=P(male)+P(non nursing major)-P(male and non nursing)

=0.323+0.798-0.295

=0.826

Nursing Non nursing Total males 93 1013 1106 females 600 1723 2323 Total 693 2736 3429 Nursing Non nursing Total males 0.027 0.295 0.323 females 0.175 0.502 0.677 Total 0.202 0.798 1.000

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