Final answer:
In a survey of 1090 investors, 390 invested in only stocks, 965 invested in stocks or bonds, and 125 did not invest in either stocks or bonds.
Step-by-step explanation:
To solve this problem, we can use the principle of inclusion-exclusion. Let's break down the information we have:
- Total number of investors surveyed: 1090
- Number of investors who invested in stocks: 690
- Number of investors who invested in bonds: 575
- Number of investors who invested in both stocks and bonds: 300
a. To find the number of investors who invested in only stocks, we need to subtract the number of investors who invested in both stocks and bonds from the total number of investors who invested in stocks:
Number of investors who invested in only stocks = Total number of investors who invested in stocks - Number of investors who invested in both stocks and bonds
Number of investors who invested in only stocks = 690 - 300 = 390
b. To find the number of investors who invested in stocks or bonds, we can add the number of investors who invested in stocks, the number of investors who invested in bonds, and subtract the number of investors who invested in both stocks and bonds (since we don't want to double-count them):
Number of investors who invested in stocks or bonds = Number of investors who invested in stocks + Number of investors who invested in bonds - Number of investors who invested in both stocks and bonds
Number of investors who invested in stocks or bonds = 690 + 575 - 300 = 965
c. To find the number of investors who did not invest in either stocks or bonds, we can subtract the number of investors who invested in stocks or bonds from the total number of investors:
Number of investors who did not invest in either stocks or bonds = Total number of investors - Number of investors who invested in stocks or bonds
Number of investors who did not invest in either stocks or bonds = 1090 - 965 = 125