Use the information below to answer the questions. Nursing Majors The table belo

Question

Use the information below to answer the questions. Nursing Majors 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 female. Find the probability that a randomly selected student is a nursing major given that the student is a female. 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? Show the probability calculations that support your answer.

Explanation / Answer

21) Probability of Random selected student is a Nursing major = no of nursing major /total no of students = 1044/3847 = 0.27

22) Probability of selected student is Female = No of female students /total no of students = 2339/3847 = 0.61

23) Probability of selected student is Nursing major given that is female = P(A and B) / P(A) =

(841/3847) / (1044/3847) = 841/1044 = 0.8055

24) The probability of student is a nursing major and Male = P(A and B) = 203/3847 = 005

25) Male and nursing major student Probability = P(A and B) = 203/3847

probability of Male student = 1508/3847 =0.3919

Probability of nursing student = 1044/3847

Probabilirt (Male|nursing major) = P(M and N) / P(N) = (203/3847) / (1044/3847) =0.194

P(M| N) is not equal to P(M). so, it's dependent.

Here, Event of Male student is dependent on Nursing major.

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