(a) P(1st person is a Professor) (b) P(1st person is a Man) = = (c) P(1st person is a Grad Student AND a Woman) =

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Suppose that you have a room with 64 different members of an academic department. Inside the
room you have:
39 Grad Students (21 Men and 18 Women)
7 Lecturers (7 Men)
18 Professors (5 Men and 13 Women)
Determine each of the following probabilities. You may leave your answer as a fraction.
For parts (a) through (f) you will be calculating probabilities related to the first person selected
from the room.
(a) P(1st person is a Professor)
(b) P(1st person is a Man)
=
(c) P(1st person is a Grad Student AND a Woman)
(d) P(1st person is a Professor OR a Woman)
=
=
(e) P(1st person is a Grad Student | 1st person is a Woman)
(f) P(1st person is a Man | 1st person is a Professor)
=
=
For part (g) assume you are now selecting two people from the room.
(g) P(2nd person is a Woman | 1st person is a Man)
=
For part (h) assume you are now selecting three people from the room.
(h) P(3rd person is a Professor | 1st two people are Professors)
-
Transcribed Image Text:Suppose that you have a room with 64 different members of an academic department. Inside the room you have: 39 Grad Students (21 Men and 18 Women) 7 Lecturers (7 Men) 18 Professors (5 Men and 13 Women) Determine each of the following probabilities. You may leave your answer as a fraction. For parts (a) through (f) you will be calculating probabilities related to the first person selected from the room. (a) P(1st person is a Professor) (b) P(1st person is a Man) = (c) P(1st person is a Grad Student AND a Woman) (d) P(1st person is a Professor OR a Woman) = = (e) P(1st person is a Grad Student | 1st person is a Woman) (f) P(1st person is a Man | 1st person is a Professor) = = For part (g) assume you are now selecting two people from the room. (g) P(2nd person is a Woman | 1st person is a Man) = For part (h) assume you are now selecting three people from the room. (h) P(3rd person is a Professor | 1st two people are Professors) -
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