10 of 20 This Question: 1 p The table below shows the number of male and female

Question

10 of 20 This Question: 1 p The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester (b) Find the probability that a randomly selected student is a nursing major, given that the student is male. re (a) Find the probability that a randomly selected student is male, given that the student is a nursing major Nursing Majors Non-nursing majors Total Females Total 93 732 825 1123 1665 2788 1216 2397 3613 a) Find the probability that a randomly selected student is male, given that the student is a nursing major The probalbility is Round to three decimal places as needed) b) Find the probability that a randomly selected student is a nursing major, glven that the student is male The probabiliy is Round to three decimal places as needed) Enter your answer n each of the answer boxes ? ? 8 0

Explanation / Answer

Solution:

Probability that the student is male given that student is nursing major(P(male/Nursing Major) = P(Male and Nursing major)/P(Nursing Major) = (93/3613)/(825/3613) = (93/825) = 0.112727 or 11.2727%

Solution(2):
Probability that a student is a nursing major given that the student is a male P(Nursing Major/Male) = P(Nursing Major and Male)/P(Male) = (93/3613)/(1216/3613) = 93/1216 = 0.076480 or 7.6480%

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