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
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Chapter2: Second-order Linear Odes
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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.
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.
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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