Discussion Questions for Case 1: Saving Mothers’ Lives in Sri Lanka 4. In Sri Lanka, the government’s ability to track trends in maternal deaths through the vital registration system was important to the implementation of their program. What are some of the difficulties that poor countries face in developing such systems? What alternatives to vital registration are used to measure maternal mortality? What are the pros and cons of alternative approaches?

involving the flipping of a weighted coin. Assume that the coin is weighted so that Pr[H]=1/4, and that the coin is flipped until a head appears, or 3 consecutive tails appear. The random variable X is defined to be the total number of flips of the coin.

How many different values are possible for the random variable X?

And there is a 2nd part to this question only available after answering the 1st.

Turner, Roth, and Lowe are partners who share income and loss in a 1:4:5 ratio (in percents: Turner, 10%; Roth, 40%; and Lowe, 50%). The partners decide to liquidate the partnership. Immediately before liquidation, the partnership balance sheet shows total assets, $140,400; total liabilities, $90,000; Turner, Capital, $3,700; Roth, Capital, $14,600; and Lowe, Capital, $32,100. Cash received from selling the assets was sufficient to repay all but $34,000 to the creditors. Required: a. Calculate the loss from selling the assets. b. Allocate the loss from part a to the partners. c. Determine how much each partner should contribute to the partnership to cover any remaining capital deficiency.

Prove that 3^n + 7^(n−1) ≡ 4 (mod 12) for all n ∈ N+.

A box contains 5 fair coins, 4 coins that land heads with probability 1/3 , and 1 coin that lands heads with probability 1/4 . A coin is taken from the box at random and flipped repeatedly until it has landed heads three times. Let X be the number of times that the coin is flipped and Y be the probability that the coin lands heads.

(a) Find the random variables E(X|Y ) and var(X|Y ) in terms of Y .

(b) Compute E(X).

(c) Compute var(X).

A box contains 5 fair coins, 4 coins that land heads with probability 1/3 , and 1 coin that lands heads with probability 1/4 . A coin is taken from the box at random and flipped repeatedly until it has landed heads three times. Let X be the number of times that the coin is flipped and Y be the probability that the coin lands heads.

(a) Find the random variables E(X|Y ) and var(X|Y ) in terms of Y .

(b) Compute E(X).

(c) Compute var(X).

1. A tank contains 4 kmol of Carbon Monoxide (CO) gas and 6 kmol of Oxygen (O2) gas at a temperature of 195 K and a pressure of 8.41 MPa. Determine the gas constant of the mixture, (Rm)

2. A tank contains 8 kg of Carbon Monoxide (CO) gas and 2 kg of Oxygen (O2) gas at a temperature of 195 K and a pressure of 8.41 MPa. Determine the gas constant of the mixture, (Rm)

On 4/1/2020, Xerox Holdings Corp. announced that it is pulling the plug on its hostile bid to buy larger rival HP Inc. after the coronavirus pandemic undermined the copier maker's ability to pull off the debt-laden merger. Xerox said it is ending both its more than $30 billion tender offer and a proxy fight to replace the printer and PC maker's, board. Xerox concluded it is no longer prudent to pursue the deal given the public health crisis and resulting market swoon. News reported earlier that Xerox planned to abandon its efforts. The move puts the kibosh on one of the biggest mergers in the works and underscores the blow that the coronavirus has dealt with the world of deal-making. Xerox's move to acquire HP, a company three times their size, was considered audacious and, in hindsight, it does not seem surprising that they have ended their efforts. Based on the article, why was Xerox initially confident of its approach? As a result of the COVID-19 crisis, what challenges do you think Xerox faced in the run-up to the method HP shareholders meeting that led to its decision to abort the takeover of HP? Irrespective of the transaction, what are the challenges that the two companies face going forward?

1. In response to COVID-19 pandemic, explain 4 business sectors that will experience dramatic drop in demand, including:

a. What is needed to survive this disruptive situation from all 4 sectors,

b. Explain how will each of the sectors optimize key production factors that shall bring effect to the output.

1. What are the 4 molecular structure of polymers? Write down the relationship between materials's strength and different molecular structure?

2. What are the three phases that a composite has, and what are their roles in the composite?

3. Give 3 examples for the materials that can be used as matrix phase and reinforcement phase.

4. What is the reason of using plies in different directions for some of the laminate composites?