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 recent semester. Find the probability that a randomly selected student is a nursing major. Find the probability that a randomly selected student is male. Find the probability that a randomly selected is a nursing major, given that the student is male. Find the probability that a randomly selected student is a nursing major and male. Are the events "being a male student" and "being a nursing major" independent or dependent events?

Explanation / Answer

a.The probability that a randomly selected student is a nursing major is: 1167/3964=0.29

b.The probability that a randomly selected student is a male is:1255/3964=0.31

c.The probability that a randomly selected student is a nursing major given that the student is male is:

P(N given M)=P(N and M)/P(M)=(151/3964)/(1255/3964)

=0.12

d.The probability that a randomly selected student is a nursing major and male is 151/3964=0.03

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