Purchased Gum 27 Kept the Money Students Given Four Quarters Students Given a $1 Bill 16 12 34
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.
In an experiment to study the effects of using four quarters or a $1 bill, college students were given either four
quarters or a $1 bill and they could either keep the money or spend it on gum. The result are summarized in the
table
a) Find the
four quarters.
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b) Find the probability of randomly selecting a student who was given a $1 bill, given that the student kept the
money.
?($? |???? ??? ?????) =
c) Find the probability of randomly selecting a student who was given four quarters or kept the money.
?(? ???????? ?? ???? ??? ?????) =
![## Student Spending Choices
### Comparison of Currency Type on Purchase Decisions
This table provides insights into the spending behavior of students when given different forms of currency.
| **Group** | **Purchased Gum** | **Kept the Money** |
|---------------------------------|-------------------|--------------------|
| Students Given Four Quarters | 27 | 16 |
| Students Given a $1 Bill | 12 | 34 |
**Explanation:**
- **Students Given Four Quarters**: Out of all students given four quarters, 27 opted to purchase gum while 16 chose to keep the money.
- **Students Given a $1 Bill**: Among the students given a $1 bill, 12 decided to buy gum, whereas 34 preferred to keep the money.
This data can be used to analyze how the form of currency affects the likelihood of spending. Students with quarters were more likely to purchase gum compared to those who were given a dollar bill.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe25f560c-ab9f-4e77-9262-a728e7296416%2Fcbeca0ad-805c-4dff-b4f7-1b2623267645%2F3yfwtx8.jpeg&w=3840&q=75)
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