Answered: A family consisting of three people—P1…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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.

Using the outcomes for the chance experiment, identify outcomes in each of the following events. Let A be the event that P₁ and P₂ go to the same station, B be the event that all three people go to different stations, and C be the event that no one goes to station 2.

A ∩ C

1. A ∩ C = {(2, 2, 2), (3, 3, 3)}

2. A ∩ C = {(1, 1, 1), (3, 3, 3)}

3. A ∩ C = {(1, 1, 1), (2, 2, 2)}

4. A ∩ C = {(2, 2, 2), (2, 2, 3), (3, 3, 2), (3, 3, 3)}

5. A ∩ C = {(1, 1, 1), (1, 1, 3), (3, 3, 1), (3, 3, 3)}

6. A ∩ C = {(1, 1, 1), (1, 1, 2), (2, 2, 1), (2, 2, 2)}

Which number above is the righ outcome for the event?

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