(b) List all outcomes in the event A, that all three people go to the same station. O A = {(1, 1, 1), (2, 2, 2), (3, 3, 3) } O A = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (2, 2, 1), (2, 2, 2), (2, 2, 3), (3, 3, 1), (3, 3, 2), (3, 3, 3)} O A = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (2, 1, 1), (2, 2, 2), (2, 2, 3), (3, 3, 1), (3, 3, 2), (3, 3, 3) } O A = {(1, 1, 1), (2, 2, 2), (1, 3, 1) } O A = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (2, 2, 1), (2, 2, 2), (2, 2, 1), (3, 3, 1), (3, 3, 2), (3, 3, 3) } (c) List all outcomes in the event B, that all three people go to different stations. OB = {(1, 2, 3), (2, 3, 1), (3, 1, 2), (1, 3, 2), (2, 1, 3), (3, 2, 1) } OB = {(1, 2, 3), (2, 3, 1), (1, 3, 2), (2, 1, 3), (3, 2, 1) } OB = {(1, 2, 3), (2, 3, 1), (3, 1, 2), (1, 3, 2), (3, 2, 1) } OB = {(1, 2, 3), (2, 3, 1), (3, 1, 2), (1, 3, 2), (2, 1, 3), (3, 2, 2)} OB = {(1, 2, 3), (2, 3, 1), (3, 1, 2), (1, 2, 3), (2, 1, 3), (3, 2, 1) } (d) List all outcomes in the event C, that no one goes to station 1. O C= {(2, 2, 2), (2, 2, 3), (2, 3, 3), (3, 3, 3), (3, 3, 2), (3, 2, 2), (3, 2, 3), (2, 3, 2)} OC= {(1, 1, 1), (1, 1, 3), (1, 3, 3), (3, 3, 3), (3, 3, 1), (3, 1, 1), (3, 1, 3), (1, 3, 1)} Oc= {(2, 2, 2), (2, 2, 1), (2, 1, 1), (1, 1, 1), (1, 1, 2), (1, 2, 2), (1, 2, 1), (2, 1, 2)} OC= {(2, 2, 2), (2, 2, 3), (2, 3, 3), (3, 3, 3), (3, 2, 2), (3, 2, 3), (2, 3, 2)} OC = {(2, 2, 2), (2, 3, 3), (3, 3, 3), (3, 3, 2), (3, 2, 2), (3, 2, 3), (2, 3, 2)}
(b) List all outcomes in the event A, that all three people go to the same station. O A = {(1, 1, 1), (2, 2, 2), (3, 3, 3) } O A = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (2, 2, 1), (2, 2, 2), (2, 2, 3), (3, 3, 1), (3, 3, 2), (3, 3, 3)} O A = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (2, 1, 1), (2, 2, 2), (2, 2, 3), (3, 3, 1), (3, 3, 2), (3, 3, 3) } O A = {(1, 1, 1), (2, 2, 2), (1, 3, 1) } O A = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (2, 2, 1), (2, 2, 2), (2, 2, 1), (3, 3, 1), (3, 3, 2), (3, 3, 3) } (c) List all outcomes in the event B, that all three people go to different stations. OB = {(1, 2, 3), (2, 3, 1), (3, 1, 2), (1, 3, 2), (2, 1, 3), (3, 2, 1) } OB = {(1, 2, 3), (2, 3, 1), (1, 3, 2), (2, 1, 3), (3, 2, 1) } OB = {(1, 2, 3), (2, 3, 1), (3, 1, 2), (1, 3, 2), (3, 2, 1) } OB = {(1, 2, 3), (2, 3, 1), (3, 1, 2), (1, 3, 2), (2, 1, 3), (3, 2, 2)} OB = {(1, 2, 3), (2, 3, 1), (3, 1, 2), (1, 2, 3), (2, 1, 3), (3, 2, 1) } (d) List all outcomes in the event C, that no one goes to station 1. O C= {(2, 2, 2), (2, 2, 3), (2, 3, 3), (3, 3, 3), (3, 3, 2), (3, 2, 2), (3, 2, 3), (2, 3, 2)} OC= {(1, 1, 1), (1, 1, 3), (1, 3, 3), (3, 3, 3), (3, 3, 1), (3, 1, 1), (3, 1, 3), (1, 3, 1)} Oc= {(2, 2, 2), (2, 2, 1), (2, 1, 1), (1, 1, 1), (1, 1, 2), (1, 2, 2), (1, 2, 1), (2, 1, 2)} OC= {(2, 2, 2), (2, 2, 3), (2, 3, 3), (3, 3, 3), (3, 2, 2), (3, 2, 3), (2, 3, 2)} OC = {(2, 2, 2), (2, 3, 3), (3, 3, 3), (3, 3, 2), (3, 2, 2), (3, 2, 3), (2, 3, 2)}
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
6.1.4.1
Transcribed Image Text:(b) List all outcomes in the event A, that all three people go to the same station.
O A = {(1, 1, 1), (2, 2, 2), (3, 3, 3) }
O A = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (2, 2, 1), (2, 2, 2), (2, 2, 3), (3, 3, 1), (3, 3, 2), (3, 3, 3)}
O A = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (2, 1, 1), (2, 2, 2), (2, 2, 3), (3, 3, 1), (3, 3, 2), (3, 3, 3) }
O A = {(1, 1, 1), (2, 2, 2), (1, 3, 1) }
O A = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (2, 2, 1), (2, 2, 2), (2, 2, 1), (3, 3, 1), (3, 3, 2), (3, 3, 3) }
(c) List all outcomes in the event B, that all three people go to different stations.
OB = {(1, 2, 3), (2, 3, 1), (3, 1, 2), (1, 3, 2), (2, 1, 3), (3, 2, 1) }
O B = {(1, 2, 3), (2, 3, 1), (1, 3, 2), (2, 1, 3), (3, 2, 1) }
OB = {(1, 2, 3), (2, 3, 1), (3, 1, 2), (1, 3, 2), (3, 2, 1) }
O B = {(1, 2, 3), (2, 3, 1), (3, 1, 2), (1, 3, 2), (2, 1, 3), (3, 2, 2) }
OB = {(1, 2, 3), (2, 3, 1), (3, 1, 2), (1, 2, 3), (2, 1, 3), (3, 2, 1) }
(d) List all outcomes in the event C, that no one goes to station 1.
O C = {(2, 2, 2), (2, 2, 3), (2, 3, 3), (3, 3, 3), (3, 3, 2), (3, 2, 2), (3, 2, 3), (2, 3, 2)}
=
: {(1, 1, 1), (1, 1, 3), (1, 3, 3), (3, 3, 3), (3, 3, 1), (3, 1, 1), (3, 1, 3), (1, 3, 1) }
OC= {(2, 2, 2), (2, 2, 1), (2, 1, 1), (1, 1, 1), (1, 1, 2), (1, 2, 2), (1, 2, 1), (2, 1, 2)}
OC= {(2, 2, 2), (2, 2, 3), (2, 3, 3), (3, 3, 3), (3, 2, 2), (3, 2, 3), (2, 3, 2)}
OC = {(2, 2, 2), (2, 3, 3), (3, 3, 3), (3, 3, 2), (3, 2, 2), (3, 2, 3), (2, 3, 2) }
Transcribed Image Text:1
A family consisting of three people - P₁, P₂, and P3 - belongs to a medical clinic that always has a physician at each of stations 1, 2, and 3. During a certain week, each member of the
family visits the clinic exactly once and is randomly assigned to a station. One experimental outcome is (1, 2, 1), which means that P₁ is assigned to station 1, P₂ to station 2, and P3 to
station 1.
1
1
(a) List the 27 possible outcomes. (Hint: First list the nine outcomes in which P₁ goes to station 1, then the nine in which P₁ goes to station 2, and finally the nine in which P.
goes to station 3; a tree diagram might help.)
O{ (1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 2, 1), (1, 2, 2), (1, 2, 3), (1, 3, 1), (1, 3, 2), (1, 3, 3), (2, 1, 1), (2, 1, 3), (2, 2, 1), (2, 2, 2), (2, 2, 3), (2, 3, 1), (2, 3, 2), (2, 3, 3),
(3, 1, 1), (3, 1, 2), (3, 1, 3), (3, 2, 1), (3, 2, 2), (3, 2, 3), (3, 3, 1), (3, 3, 2), (3, 3, 3) }
O{ (1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 2, 1), (1, 2, 2), (1, 2, 3), (1, 3, 1), (1, 3, 2), (1, 3, 3), (2, 1, 1), (2, 1, 2), (2, 1, 3), (2, 2, 1), (2, 2, 2), (2, 2, 3), (2, 3, 1), (2, 3, 2),
(2, 3, 3), (3, 1, 1), (3, 1, 2), (3, 1, 3), (3, 2, 1), (3, 2, 2), (3, 2, 3), (3, 3, 1), (3, 3, 2), (3, 3, 3) }
O{ (1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 2, 1), (1, 2, 2), (1, 2, 3), (1, 3, 1), (1, 3, 2), (1, 3, 3), (2, 1, 1), (2, 1, 2), (2, 1, 3), (2, 2, 1), (2, 2, 2), (2, 2, 3), (2, 3, 1), (2, 3, 2),
(2, 3, 3), (3, 1, 1), (3, 1, 2), (3, 1, 3), (3, 2, 1), (3, 2, 2), (3, 2, 3), (2, 3, 1), (3, 3, 2), (3, 3, 3) }
O{ (1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 2, 1), (1, 2, 2), (1, 2, 3), (1, 3, 1), (1, 3, 2), (1, 3, 3), (2, 1, 1), (2, 1, 2), (2, 1, 3), (2, 2, 1), (2, 2, 2), (2, 3, 1), (2, 3, 2), (2, 3, 3),
(3, 1, 1), (3, 1, 2), (3, 1, 3), (3, 2, 1), (3, 2, 2), (3, 2, 3), (3, 3, 1), (3, 3, 2), (3, 3, 3) }
O{ (1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 2, 1), (1, 2, 2), (1, 2, 3), (1, 3, 1), (1, 3, 2), (1, 3, 3), (2, 1, 1), (2, 1, 2), (2, 1, 3), (2, 2, 1), (2, 2, 2), (2, 2, 3), (2, 3, 1), (1, 3, 2),
(2, 3, 3), (3, 1, 1), (3, 1, 2), (3, 1, 3), (3, 2, 1), (3, 2, 2), (3, 2, 3), (3, 3, 1), (3, 3, 2), (3, 3, 3) }
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