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page 3 2. a. Given the events that led to the global economic meltdown, a Univer

ID: 3318172 • Letter: P

Question

page 3 2. a. Given the events that led to the global economic meltdown, a University President has proposed that all students reading a Management or Accounting Major must read a course in Ethics as a requirement for graduation. Twelve hundred faculty members and students from the university were asked for their opinion on this issue. The table below gives a two-way classification of the responses of these faculty members and students Table 1 In Favour Opposed NeaTotal 145 135 Undergraduate 155 435 Faculty Members Graduate Students 115 120 190 425 110 105 125 340 370 360 470 Students Total 1200 A person is selected at random from the University community. Find the probability as a fraction; do not convert into decimals) that the person is: (i) a Faculty Member (ii) Neither In Favour nor Opposed to the proposed requirement Gii)An Undergraduate Student and Opposed to the proposed requirement [2] (iv)A Graduate Student, given that he or she is In Favour of the proposed requirement.

Explanation / Answer

i) P(faculty) = (145 + 115 + 110)/1200

P = 370/1200 = 37/120

ii) P(Neutral) = (110 + 105 + 125)/1200

P = 340/1200 = 34/120 = 17/60

iii) P = 190/1200 = 19/120

iv) P(grad|favour) = 135/435 = 27/87 = 9/29

c)