3 Refer to the following table which shows the stock market performance of 40 industries from five sectors of the U S economy as of noon on September 11 2015 J Take S to be the set of all 40 industries represented in the table Increased X Decreased Y Financials F 3 Unchanged Z Totals 4 1 8 Manufacturing M 8 Information Technology T Health Care H Utilities U 4 Totals 24 3 10 6 1 3 1 3 1 40 0 5 14 6 7 J Unchanged includes industries that moved by less than 0 1 Source for data Fidelity https eresearch fidelity com a Use symbols to describe the event that an industry neither decreased in value nor was in the information sector How many elements are in this event b Describe the event F U Mn Z in words and compute n FU Mn Z c What percentage of industries that increased in value were utilities industries d What percentage of utilities industries increased in value Hint Similar to Exercises 57 59 and 55 in Section 7 1 of the textbook Solution