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For the data of Exercise 1.4 on page 13, compute both the mean and the variance in "flexibility" for both company A and company B. Does there appear to be a difference in flexibility between company A and company B? Reference: Exercise 1.4: In a study conducted by the Department of Mechanical Engineering at Virginia Tech, the steel rods supplied by two different companies were compared. Ten sample springs were made out of the steel rods supplied by each company, and a measure of flexibility was recorded for each. The data are as follows: Company A: 9.3 8.8 6.8 8.7 8.5 6.7 8.0 6.5 9.27.0 Company B: 11.0 9.8 9.9 10.2 10.1 9.7 11.0 11.1 10.2 9.6 (a) Calculate the sample mean and median for the data for the two companies. (b) Plot the data for the two companies on the same line and give your impression regarding any apparent differences between the two companies.Tom, the owner of Burger Palace, determined that his weighted average cost of capital is 8%. He ex- pects a return of 4% per year on all of his invest- ments. A proposal presented by the owner of the Dairy Choice next door seems quite risky to Tom, but is an intriguing partnership opportunity. Tom has determined that the proposal's "risk factor" will require an additional 3% per year return for him to accept it. (a) Use the recommended approach to determine the MARR that Tom should use, and explain how the 3% risk factor is compensated for in this MARK. (b) Determine the effective MARR for his busi- ness if Tom turns down the proposal. Mix and WACC Electrical generators produce not only electricity, but also heat from conductor resistance and from friction losses in bearings. A company that manu- factures generator coolers for nuclear and gas tur- bine power plants undertook a plant expansion through financing that had a debt-equity mix of 45-55. If $18 million came from mortgages and bond sales, what was the total amount of the financing? Determine the debt-to-equity mix when Applied Technology bought out Southwest Semiconductor using financing as follows: $12 million from mort- gages, $5 million from retained earnings, $10 mil- lion from cash on hand, and $20 million from bonds.Consider the density function SAVE, 02, Y= 1); c) (C) P(X > Y);(d) P(X + Y = 4). A coin is flipped until 3 heads in succession occur. List only those elements of the sample space that require 6 or less tosses. Is this a discrete sample space? Explain.For the density function of Exercise 3.18, find F(x), and use it to evaluate P(3 s X 0, y>0, elsewhere, find P(0 3); (c) P(1.4 2)