The results of a survey taken by a bank in a medium-sized town are shown in the table. The survey asked questions about the investment habits of bank customers. Assuming that no one invests in more than one type of investment, and using the letters in the table, find the number of people in each set. Complete parts (a) through (f) below. (a) Y∩B b) M∪A (c) Y∩(S∪B) (d) O′∪(S∪A) (e) (M′∪O′)∩B (f) Describe the set Y∩(S∪B) in words.
The results of a survey taken by a bank in a medium-sized town are shown in the table. The survey asked questions about the investment habits of bank customers. Assuming that no one invests in more than one type of investment, and using the letters in the table, find the number of people in each set. Complete parts (a) through (f) below. (a) Y∩B b) M∪A (c) Y∩(S∪B) (d) O′∪(S∪A) (e) (M′∪O′)∩B (f) Describe the set Y∩(S∪B) in words.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The results of a survey taken by a bank in a medium-sized town are shown in the table. The survey asked questions about the investment habits of bank customers. Assuming that no one invests in more than one type of investment, and using the letters in the table, find the number of people in each set. Complete parts (a) through (f) below.
(a) Y∩B
b) M∪A
(c) Y∩(S∪B)
(d) O′∪(S∪A)
(e) (M′∪O′)∩B
(f) Describe the set Y∩(S∪B) in words.
Transcribed Image Text:The image presents a table showing the distribution of investments among different age groups in stocks, bonds, and savings accounts. The categories are detailed as follows:
### Age Groups and Investment Types:
- **18-29 years (Y):**
- Stocks (S): 7
- Bonds (B): 2
- Savings Accounts (A): 15
- **Total investments:** 24
- **30-49 years (M):**
- Stocks (S): 15
- Bonds (B): 7
- Savings Accounts (A): 18
- **Total investments:** 40
- **50 or over (O):**
- Stocks (S): 34
- Bonds (B): 17
- Savings Accounts (A): 10
- **Total investments:** 61
### Overall Totals:
- Total in Stocks: 56
- Total in Bonds: 26
- Total in Savings Accounts: 43
- **Grand Total of all investments:** 125
### Explanation
The table categorizes investments by age group, indicating how many individuals from each group have invested in stocks, bonds, or savings accounts.
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