4b) Three board members for a nonprofit organization will be selected from a group of five people. The board members will be selected by drawing names from a hat. The names of the five possible board members are Allison, Betty, Charlie, Dave, and Emily. The possible simple events can be represented as follows: ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE Here, for example, ABC represents the outcome that Allison, Betty, and Charlie are selected to be on board. The events A and B are defined as follows: A= event that Betty and Allison are both selected B = event that Charlie and Dave are both selected Then the events A and B mutually exclusive. True False the
4b) Three board members for a nonprofit organization will be selected from a group of five people. The board members will be selected by drawing names from a hat. The names of the five possible board members are Allison, Betty, Charlie, Dave, and Emily. The possible simple events can be represented as follows: ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, CDE Here, for example, ABC represents the outcome that Allison, Betty, and Charlie are selected to be on board. The events A and B are defined as follows: A= event that Betty and Allison are both selected B = event that Charlie and Dave are both selected Then the events A and B mutually exclusive. True False the
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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Transcribed Image Text:**Problem 4b: Selecting Board Members for a Nonprofit Organization**
*Scenario:*
Three board members for a nonprofit organization will be selected from a group of five people. The board members will be selected by drawing names from a hat. The names of the five possible board members are Allison, Betty, Charlie, Dave, and Emily.
*Possible Simple Events:*
The possible combinations (simple events) of selecting 3 out of the 5 members can be represented as:
- ABC
- ABD
- ABE
- ACD
- ACE
- ADE
- BCD
- BCE
- BDE
- CDE
*Example:*
For example, "ABC" represents the outcome that Allison, Betty, and Charlie are selected to be on the board.
*Defined Events:*
The events A and B are defined as follows:
- **A** = event that Betty and Allison are both selected.
- **B** = event that Charlie and Dave are both selected.
*Question:*
Are the events A and B mutually exclusive?
**Options:**
- True ☐
- False ☐
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