MATH 131-F, Statistios for Dacision Making Fall 2017 Quiz: Chapter 3 Review Quiz

Question

MATH 131-F, Statistios for Dacision Making Fall 2017 Quiz: Chapter 3 Review Quiz This Question: 1 pt This Quiz The table below shows the number of male and temale students enroiled in nursing at a paricoulr univarsty for a recent sermeeter (a) Find the probability that a randomly selected student is male, given hat the sludent is a nursing major (b) Find the probability that a randomly selected student is a nusing major, given thet the sident is male Nursing Majors 98 732 830 Non-nursing majors 1147 1620 2767 Total 1245 2352 Males Total ontents (a) Find the probabity that a randomly selecfed student is mala, givan that the studernt is a nursing maor. The probability is Round to three dacimal placos as needad.) b) Find the probabiliy that a randomly selacted shudert is a musing major, given that the studant is mao The probabilty is Options Tutor Ben placas as n Enter your anewer in each of the answar boxos

Explanation / Answer

Probability that randomly selected student is male , given that student is nursing major

= Number of male students under nursing major / Number of students under nursing major

= 98 / 830 =0.118

Probability that randomly selected student is male , given that student is nursing major = 0.118

Probability that randomly selected student is nursing , given that student is male

= Number of students under nursing major who is male / Number of male students

= 98/1245 = 0.079

Probability that randomly selected student is nursing , given that student is male = 0.079

Nursing majors Non-Nursing majors Total Male 98 1147 1245 Female 732 1620 2352 830 2767 3597

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