A study of the university soccer team isconducted. It is known that the proporti
ID: 2916569 • Letter: A
Question
A study of the university soccer team isconducted. It is known that the proportion of graduate students inthe university soccer team (G) is 20%. In other words, the event Gthat a randomly selected team memebr is a graduate student has theprobability P(G) =0.2. Among the graduate students (that isconditionally, given G occured), porportion of health science majorstudnets (event H) is P(H|G)=0.55. Among the undergraduate students(given G did not occur), the proportion of health science major isP(H|G')=0.15, a) Find all joint probabilities in the table below. Health science Other (H') Marginal Graduate Not a Graduate Marginal 1.00 b) Find the proportion of health science majors c) what is the proportion of team members who satisfy at leastone of these statements, G or H? d) Find the conditional probability that a team member is agradaute student, given that the student is majored in healthscience. e) what is the proportion of gradate students among thosesutdents who do not major in health science? A study of the university soccer team isconducted. It is known that the proportion of graduate students inthe university soccer team (G) is 20%. In other words, the event Gthat a randomly selected team memebr is a graduate student has theprobability P(G) =0.2. Among the graduate students (that isconditionally, given G occured), porportion of health science majorstudnets (event H) is P(H|G)=0.55. Among the undergraduate students(given G did not occur), the proportion of health science major isP(H|G')=0.15, a) Find all joint probabilities in the table below. Health science Other (H') Marginal Graduate Not a Graduate Marginal 1.00 b) Find the proportion of health science majors c) what is the proportion of team members who satisfy at leastone of these statements, G or H? d) Find the conditional probability that a team member is agradaute student, given that the student is majored in healthscience. e) what is the proportion of gradate students among thosesutdents who do not major in health science? Health science Other (H') Marginal Graduate Not a Graduate Marginal 1.00Explanation / Answer
a) Ignore the headings and table formatting of the columns - thatgot screwed up somehow. b) 0.23 c) 1-0.68 = 0.32 d) 0.11/0.23 = 11/23 ˜ 0.4783 e) 0.09/0.77 = 9/77 ˜0.1169. Health Science Other (H') Graduate 0.55*0.2=0.11 0.2-0.11=0.09 0.2 Not a Graduate 0.15*0.8=0.12 0.8-0.12=0.68 1-0.2=0.8 Marginal 0.11+0.12=0.23 0.09+0.68=0.77 1.00
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