The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 51 households is monitored for one year to determine aluminum usage. Ifthe population standard deviation of annual usage is 12.1 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables 3. More than 60 pounds b. More than 57 pounds c. Between 56 and 57 pounds d. Less than 53 pounds e. Less than 50 pounds {Round the values of z to 2 decimal places, e3. 15.25. Round your answers to 4 decimal places. eg. 0.2513.) In an effort to cut costs and improve prots, many US. companies have been turning to outsourcing. In fact, according to Purchasing magazine, 54% of companies surveyed outsourced some part of their manufacturing process in the past two to three yea rs. Suppose 555 of these companies are contacted. Appendix A Statistical Tables a.What is the probability that 338 or more companies outsourced some part of their manufacturing process in the past two to three years? b. What is the probability that 293 or more companies outsourced some part of their manufacturing process in the past two to three years? c. What is the probability that 50% or less of these companies outsourced some part of their manufacturing process in the past two to three years? {Round the values ofz to 2 decimal places, e3. 15.25. Round the intermediate values to 4 decimal places, e3. 0.2513. Round your answers to 4 decimal places, 3.3. 0.2513.)