As a company manager for Claimstat corporation, there is a 0.40 probability that you will be promoted this year. There is a 0.72 probability that you will get a promotion, a raise, or both. The probability of getting a promotion and a raise is 0.25. (1) If you get a promotion, what is the probability that you will also get a raise?
(2) Are getting a raise and being promoted independent events? Explain using probabilities.
(3) Are these two events mutually exclusive? Explain using probabilities.

Following is a list of various costs incurred in producing replacement automobile parts. with respect to the production and sale of these auto parts, classify each cost as either variable costs, fixed costs, or mixed costs. 1. oil used in manufacturing equipment 2. plastic 3. property taxes, $165,000 per year on factory building and equipment 4. salary of plant manager 5. cost of labor for hourly workers 6. packaging 7. factory cleaning costs, $6,000 per month 8. metal 9. rent on warehouse, $10,000 per month plus $25 per square foot of storage used 10. property insurance premiums, $3,600 per month plus $0.01 for each dollar of property over $1,200,000 11. straight-line depreciation on the production equipment 12. hourly wages of machine operators 13. electricity costs, $0.20 per kilowatt-hour 14. computer chip (purchased from a vendor) 15. pension cost, $1.00 per employee hour on the job

True or false: a fitted model with more predictors will necessarily have a lower training set error than a model with fewer predictors.

Use the following account numbers and corresponding account titles to answer the following question. account no. account title (1) cash (2) merchandise inventory (3) cost of goods sold (4) transportation-out (5) dividends (6) common stock (7) selling expense (8) loss on the sale of land (9) sales which accounts would appear on the income statement?