Ashipment of road bikes has just arrived at a small bicycle shop, and all the boxes have been placed in the back room. the owner asks her assistant to start bringing in the boxes. the assistant sees 20 identical- looking boxes and starts bringing them into the shop at random. the owner knows that she ordered 10 women's and 10 men's bicycles, and so she is surprised to find that the first six are all women's bikes. as the seventh box is brought in, she starts thinking, "this one is bound to be a men's bike." complete parts a and b below. is she correct in thinking that there’s a higher probability that the next box will contain a men’s bike? explain.is this an example of the law of large numbers? explain.

Calculate the cost of each capital component—in other words, the after-tax cost of debt, the cost of preferred stock (including flotation costs), and the cost of equity (ignoring flotation costs). use both the capm method and the dividend growth approach to find the cost of equity.calculate the cost of new stock using the dividend growth approach.what is the cost of new common stock based on the capm? (hint: find the difference between re and rs as determined by the dividend growth approach and then add that difference to the capm value for rs.)assuming that gao will not issue new equity and will continue to use the same target capital structure, what is the company’s wacc? e. suppose gao is evaluating three projects with the following characteristics.each project has a cost of $1 million. they will all be financed using the target mix of long-term debt, preferred stock, and common equity. the cost of the common equity for each project should be based on the beta estimated for the project. all equity will come from reinvested earnings.equity invested in project a would have a beta of 0.5 and an expected return of 9.0%.equity invested in project b would have a beta of 1.0 and an expected return of 10.0%.equity invested in project c would have a beta of 2.0 and an expected return of 11.0%.analyze the company’s situation, and explain why each project should be accepted or rejected g

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

The cook corporation has two divisions--east and west. the divisions have the following revenues and expenses: east west sales $ 603,000 $ 506,000 variable costs 231,000 300,000 traceable fixed costs 151,500 192,000 allocated common corporate costs 128,600 156,000 net operating income (loss) $ 91,900 $ (142,000 ) the management of cook is considering the elimination of the west division. if the west division were eliminated, its traceable fixed costs could be avoided. total common corporate costs would be unaffected by this decision. given these data, the elimination of the west division would result in an overall company net operating income (loss)