Five people (Alex, Bill, Cathy, David, and Erica) form a club, N= {A, B, C, D, E}. Cathy and Erica are women, and the others are men. If they choose a secretar randomly, find the odds in favor of a person whose name begins with a vowel becoming secretary. The odds in favor of a person whose name begins with a vowel becoming secretary are to (Type whole numbers.)
Five people (Alex, Bill, Cathy, David, and Erica) form a club, N= {A, B, C, D, E}. Cathy and Erica are women, and the others are men. If they choose a secretar randomly, find the odds in favor of a person whose name begins with a vowel becoming secretary. The odds in favor of a person whose name begins with a vowel becoming secretary are to (Type whole numbers.)
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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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![Five people (Alex, Bill, Cathy, David, and Erica) form a club, \(N = \{A, B, C, D, E\}\). Cathy and Erica are women, and the others are men. If they choose a secretary randomly, find the odds in favor of a person whose name begins with a vowel becoming secretary.
The odds in favor of a person whose name begins with a vowel becoming secretary are [ ] to [ ].
(Type whole numbers.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7cef134d-3264-498a-99f5-02f5b4a376f9%2F224478e6-e767-4f16-b707-466dfcae6a6b%2F1an6vtp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Five people (Alex, Bill, Cathy, David, and Erica) form a club, \(N = \{A, B, C, D, E\}\). Cathy and Erica are women, and the others are men. If they choose a secretary randomly, find the odds in favor of a person whose name begins with a vowel becoming secretary.
The odds in favor of a person whose name begins with a vowel becoming secretary are [ ] to [ ].
(Type whole numbers.)

Transcribed Image Text:### Probability and Odds
**Scenario:**
Annie randomly chooses a single ball from the can shown here. Find the odds against the event.
**Event:**
Drawing a yellow (Y) ball.
**Diagram Description:**
The can contains a total of 12 colored balls arranged in a 3x4 grid pattern. The distribution of colors is as follows:
- Red (R) balls: 4
- Yellow (Y) balls: 3
- Blue (B) balls: 5
**Task:**
State the odds against picking a yellow ball in lowest terms.
**Solution:**
1. **Count the Yellow Balls:**
Number of yellow balls (Y) = 3
2. **Count the Non-Yellow Balls:**
Non-yellow balls (Red + Blue) = 4 (Red) + 5 (Blue) = 9
3. **Calculate the Odds Against Yellow:**
Odds against yellow = Non-yellow balls : Yellow balls
= 9 : 3
4. **Simplify the Odds:**
Simplify the ratio 9:3 to its lowest terms, which is 3:1.
**Result:**
The odds against yellow are 3 to 1.
**Instruction:**
Type whole numbers only in the answer boxes provided for odds.
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