Using the demographic information in the table below, consider the following scenario: A teacher chooses a student to dim the lights and a student to shut the door. In how many ways can the teacher do this if a student may do both jobs and:

a. Both are girls?

b. One is a boy and one is a girl?

c. At least one is a boy?

d. The door closer is a boy?

e. Neither are seniors?

f. Neither are education majors?

3. For the Romulan species, if the probability that a couple produces a girl is 0.2563, and if the couple has 7 children, what is the probability they will have: 2 boy(s) and 5 girl(s) (in any order)?

4. For the Romulan species, if the probability that a couple produces a girl is 0.73991, and if the couple has 5 children, what is the probability they will have: 4 boy(s) and 1 girl(s) (in any order)?

5. For the Andorian species, if the probability that a couple produces a girl is 0.92162, and if the couple has 7 children, what is the probability they will have: 4 boy(s) and 3 girl(s) (in any order)?

Need help with #3, 4, and 5. please showed works and neat writing. Thank you

What are the defining concepts underlying megastructure and metabolism as they emerged in the 1960s? How does the work of Archigram show these concepts, and in what ways does its graphic style extend or develop them?

Explain two novel (new) characteristics that all land plants have, and how these characteristics are beneficial when living on land

In the novel how the markets fail by John Cassidy, Explain how the prisoner’s dilemma works? How is it an example of market failure?

In the novel how the markets fail by John Cassidy, Explain how the prisoner’s dilemma works? How is it an example of market failure?

Identify Future directions and various perspective on Digital Twin Developments and applications for the crisis caused by Novel Coronavirus (COVID-19).

Calvin Machinery Company manufactures heavy-duty equipment used in foundries, mining operations, and similar operations. The company is very decentralized, with various division managers having control over capital investments and most production decisions. The Cylinder Division fabricates a component which is used by the Press Division in its production of metal presses. The Cylinder Division has been selling to the Press Division at a price of $3,000 per unit. Because of a cost increase, the Cylinder Division wants to increase its price to $3,200, even though the Press Division can still purchase an equivalent component externally for $3,000. The following information has been gathered regarding this issue:

Required:

a. If the Press Division buys its units externally, the Cylinder Division will have idle capacity for which there are no alternative uses. Will the company as whole benefit if the Press Division purchases its units externally for $3,000 per unit?
b. If the Press Division buys its units externally, the Cylinder Division will have idle capacity which can be used to generate a positive cash flow of $40,000. Will the company as whole benefit if the Press Division purchases its units externally for $3,000 per unit?
c. Refer to (b). Will your answer change if the price at which the Press Division can buy externally decreases to $2,700 per unit? Support your answer.

please show all workings step by step

Question 1

M & M Printing is considering the purchase of a new printing press. The cost of the press is $2 million. This outlay will be partially offset by the sale of an existing press. The old press has zero net book value, cost $1 million ten years ago and can be sold currently for $0.2 million before taxes. As a result of acquiring the new press, sales in each of the next five years are expected to increase by $1.6 million but product costs, excluding depreciation, will represent forty percent of sales. The new press will require that creditors be upped by four hundred thousand dollars and debtors increase by nine hundred thousand dollars. The new press will also be depreciated using a straight line method to a residual value of three hundred thousand dollars but will only fetch two hundred and twenty thousand dollars on the market. Investing in such assets attracts a Special Initial Allowance (SIA) of twenty five percent of the installed cost to be spread equally over the useful life of the asset. This new printing press is expected to chew $200 000 to install it. The firm is subject to a thirty percent tax rate on both ordinary income and capital gains. Wells Printing cost of capital is 20 percent per year. Assume that depreciation is tax allowable.

Required

Determine

1. The initial investment
2. After tax increamental cashflow
3. Terminal cashflow
4. Advice the company on whether to invest in the new press or not, using Profitability index approach.