#1 Probability. Please provide a spreadsheet and show work. A survey of 200 college graduates who have been working for at least 3 years found that 90 owned only mutual funds, 20 owned only stocks, and 70 owned both. a. What is the probability that an individual owns a stock? A mutual fund? b. What is the probability that an individual owns neither stocks nor mutual funds? c. What is the probability that an individual owns either a stock or a mutual fund? #2 Sampling. Please provide a spreadsheet and show work. A study of nonfatal occupational injuries in the United States found that about 31% of all injuries in the service sector involved the back. The National Institute for Occupational Safety and Health (NIOSH) recommended conducting a comprehensive ergonomics assessment of jobs and workstations. In response to this information, Mark Glassmeyer developed a unique ergonomic handcart to help field service engineers be more productive and also to reduce back injuries from lifting parts and equipment during service calls. Using a sample of 382 field service engineers who were provided with these carts, Mark collected the following data: Year 1 (Without Cart) Average call time Standard deviation call time Proportion of back injuries Year 2 (With Cart) 8.27 hours 1.36 hours 0.018 7.98 hours 1.21 hours 0.010 Find 95% confidence intervals for the average call times and proportion of back injuries in each year. What conclusions would you reach based on your results