In a survey on consumer spending methods, the following results were obtained. Payment Method Checks Cash Credit cards Transactions, % 37 14 cards Other 19 10 20 If a transaction tracked in this survey is selected at random, what is the probability that the transaction was paid for by each of the following? (a) with a credit card or with a debit/ATM card Debit/ATM (b) with cash or some method other than with a check, a credit card, or a debit/ATM card Need Help? Read It

FINANCIAL ACCOUNTING
10th Edition
ISBN:9781259964947
Author:Libby
Publisher:Libby
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
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**Understanding Consumer Spending Methods**

In a survey on consumer spending methods, the following results were obtained:

| Payment Method | Transactions (%) |
|----------------|------------------|
| Checks         | 37               |
| Cash           | 14               |
| Credit Cards   | 20               |
| Debit/ATM Cards| 19               |
| Other          | 10               |

**Probability Questions from the Survey Results**

When analyzing the survey data, if a transaction tracked in this survey is selected at random, we can determine the likelihood of different payment methods being used.

**Questions:**

(a) What is the probability that the transaction was paid for by a credit card or a debit/ATM card?

*(b) What is the probability that the transaction was paid for with cash or some method other than with a check, a credit card, or a debit/ATM card?

**Need Help?**  
[Read It]

---

Explanation of Probabilities:

1. **Credit Card or Debit/ATM Card:** 
   To find the probability of a transaction being made with either a credit card or a debit/ATM card, sum the percentages of transactions made with these two methods:
   \[
   P(\text{Credit Card or Debit/ATM Card}) = P(\text{Credit Card}) + P(\text{Debit/ATM Card}) = 20\% + 19\% = 39\%
   \]

2. **Cash or Other Methods:**
   For cash or other methods, add the percentages of transactions made with these methods:
   \[
   P(\text{Cash or Other Methods}) = P(\text{Cash}) + P(\text{Other}) = 14\% + 10\% = 24\%
   \]

---

This data helps us understand the prevalence of different payment methods and assists in predicting consumer behavior.
Transcribed Image Text:**Understanding Consumer Spending Methods** In a survey on consumer spending methods, the following results were obtained: | Payment Method | Transactions (%) | |----------------|------------------| | Checks | 37 | | Cash | 14 | | Credit Cards | 20 | | Debit/ATM Cards| 19 | | Other | 10 | **Probability Questions from the Survey Results** When analyzing the survey data, if a transaction tracked in this survey is selected at random, we can determine the likelihood of different payment methods being used. **Questions:** (a) What is the probability that the transaction was paid for by a credit card or a debit/ATM card? *(b) What is the probability that the transaction was paid for with cash or some method other than with a check, a credit card, or a debit/ATM card? **Need Help?** [Read It] --- Explanation of Probabilities: 1. **Credit Card or Debit/ATM Card:** To find the probability of a transaction being made with either a credit card or a debit/ATM card, sum the percentages of transactions made with these two methods: \[ P(\text{Credit Card or Debit/ATM Card}) = P(\text{Credit Card}) + P(\text{Debit/ATM Card}) = 20\% + 19\% = 39\% \] 2. **Cash or Other Methods:** For cash or other methods, add the percentages of transactions made with these methods: \[ P(\text{Cash or Other Methods}) = P(\text{Cash}) + P(\text{Other}) = 14\% + 10\% = 24\% \] --- This data helps us understand the prevalence of different payment methods and assists in predicting consumer behavior.
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