In an industrial setting, process steam has been found to be normally distributed with an average value of 25,000 pounds per hour. there is an 80% probability that steam flow lies between 20,000 and 30,000 pounds per hour. •what is the variance of the steam flow? •what is the probability that the steam flow is less than 40,000 pounds per hour?

while setting up his new office, an attorney ordered thick, frieze carpets for the floor. however, the building inspector had him remove the expensive carpeting. the building inspector stated that according to federal regulations, the office must be wheelchair accessible as it is a public area. he further explained that since wheelchairs do not maneuver well in thick, frieze carpeting, the carpets had to be removed and be replaced with smooth-textured carpets that do not restrict wheelchair maneuverability. this scenario illustrates how a company is influenced by the component of its specific environment.

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

Bill dukes has $100,000 invested in a 2-stock portfolio. $62,500 is invested in stock x and the remainder is invested in stock y. x's beta is 1.50 and y's beta is 0.70. what is the portfolio's beta? do not round your intermediate calculations. round the final answer to 2 decimal places.