Questions: On checking with 100 investors to see who owned electric company stock (E), transportation stock (T), or municipal bonds (M), the numbers shown in the diagram below were found. (a) How many investors owned electric company or transportation stock but not both? investors (b) How many owned electric company or transportation stock but not municipal bonds? investors (c) How many had one or two of these types of investments but not all three? investors (d) How many had at least two of these types of investments? investors (e) How many had none of these types of investments? investors

On checking with 100 investors to see who owned electric company stock (E), transportation stock (T), or municipal bonds (M), the numbers shown in the diagram below were found. (a) How many investors owned electric company or transportation stock but not both? investors (b) How many owned electric company or transportation stock but not municipal bonds? investors (c) How many had one or two of these types of investments but not all three? investors (d) How many had at least two of these types of investments? investors (e) How many had none of these types of investments? investors
Transcript text: On checking with 100 investors to see who owned electric company stock $(E)$, transportation stock $(T)$, or municipal bonds $(M)$, the numbers shown in the diagram below were found. (a) How many investors owned electric company or transportation stock but not both? $\square$ investors (b) How many owned electric company or transportation stock but not municipal bonds? $\square$ investors (c) How many had one or two of these types of investments but not all three? $\square$ investors (d) How many had at least two of these types of investments? $\square$ investors (e) How many had none of these types of investments? $\square$ investors
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the relevant sections of the Venn diagram
  • Electric company stock (E): 23, 8, 4, 15
  • Transportation stock (T): 10, 8, 4, 7
  • Municipal bonds (M): 9, 15, 4, 7
Step 2: Calculate the number of investors who owned electric company or transportation stock but not both
  • Investors owning only E: 23
  • Investors owning only T: 10
  • Investors owning both E and T but not M: 8
  • Total: 23 + 10 + 8 = 41
Step 3: Calculate the number of investors who owned electric company or transportation stock but not municipal bonds
  • Investors owning only E: 23
  • Investors owning only T: 10
  • Investors owning both E and T but not M: 8
  • Investors owning E and M but not T: 15
  • Investors owning T and M but not E: 7
  • Total: 23 + 10 + 8 + 15 + 7 = 63

Final Answer

(a) 41 investors (b) 63 investors

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
4 x^(-4)(x^4)^4 x^(-1)
failedAnswered
Find the distance between the points. (5,4),(4,-1)
failedAnswered
The trial balance columns of the worksheet for Oriole Company at June 30, 2022, are as follows. Oriole Company Worksheet For the Month Ended June 30, 2022 Trial Balance ----------------------------------- Account Titles Dr. Cr. Cash 2,000 Accounts Receivable 2,700 Supplies 1,900 Accounts Payable 1,000 Unearned Service Revenue 380 Owner's Capital 2,300 Service Revenue 3,600 Salaries and Wages Expense 510 Miscellaneous Expense 170 Total 7,280 7,280 Other data: 1. A physical count reveals 500 of supplies on hand.
failedAnswered
An even function f is one for which f(-x)=f(x) for every x in the domain of f; an odd function f is one for which f(-x)=-f(x) for every x in the domain of f.
failedAnswered
Question 6 of 8, Step 2 of 2 8 / 12 Correct A quality-conscious disk manufacturer wishes to know the fraction of disks his company makes which are defective. Step 2 of 2: Suppose a sample of 865 floppy disks is drawn. Of these disks, 69 were defective. Using the data, construct the 95% confidence interval for the population proportion of disks which are defective. Round your answers to three decimal places. Lower endpoint: Upper endpoint: