(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) =
(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) =
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![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)
-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4d74547-1aec-45e8-ba6d-e47170d96e49%2F97c9d5a5-c7f6-4664-a46c-27c3d11ce12f%2F2z6oz6o_processed.png&w=3840&q=75)
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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