Please show work for all parts.

Problem: Suppose there are three major investments possible for savings: S for stocks, B for bonds, and R for real estate. An investor may invest in just one of three investments, two of the three investments, or all three investments or none of these investments. Given the following Venn Diagram, answer parts I-IV. 1. What does each region (a) (h) in the Venn diagram represent? A recent survey of 200 investors revealed that S B (b) (a) (c) (e) (d) 141 invested in stocks. 91 invested in bonds. 60 invested in real estate. 47 invested in stocks and bonds. 36 invested in stocks and real estate. 36 invested in bonds and real estate. 5 in none of the 3 major investments. Determine the number of investors in each region. Show your work and record your results in the supplied Venn diagram attachment or draw your own Venn diagram with the results. It must be clear that your shown work was used to derive the values place into the Venn diagram and not the reverse. Download the attachment and edit in your answers using an appropriate paint program such as Microsoft Paint or similar program on a Mac. How many investors. Show your work. R (h) III. 1. were represented? 2. invested in only 1 major investment? 3. invested in exactly 2 major investments? 4. invested in real estate only? 5. did not invested in any of the 3 major investments? 6. invested in bonds only? 7. invested in stocks only? 8. invested in stocks and real estate but not bonds? A recent survey of 200 investors revealed that S B (b) (a) (c) (e) (d) (f) 141 invested in stocks. 91 invested in bonds. 60 invested in real estate. 47 invested in stocks and bonds. 36 invested in stocks and real estate. 36 invested in bonds and real estate. .5 in none of the 3 major investments. Determine the number of investors in each region. Show your work and record your results in the supplied Venn diagram attachment or draw your own Venn diagram with the results. It must be clear that your shown work was used to derive the values place into the Venn diagram and not the reverse. Download the attachment and edit in your answers using an appropriate paint program such as Microsoft Paint or similar program on a Mac. g) R (h) III. How many investors. Show your work. 1. were represented? 2. invested in only 1 major investment? 3. invested in exactly 2 major investments? 4. invested in real estate only? 5. did not invested in any of the 3 major investments? 6. invested in bonds only? 7. invested in stocks only? 8. invested in stocks and real estate but not bonds? IV. Probability Show your work. 1. What is number of investor (total) from part III.1 called in probability? 2. What is the probability that an investor invested in only 1 major investment? 3. What is the probability that an investor invested in exactly 2 major investments? 4. What is the probability that an investor invested in any of the 3 major investments? 203 S B (a)= (b)= (c)= (e)= (d)= (f)= (g)= R (h)=