using formula OR Excel function.

1.A hospital spokesperson reported that 4 births had taken place at the RG Hospital during the last 24 hours. Find the following probabilities:

a.P(A) = that 2 boys and 2 girls are born.

b.P(B) = no boys are born.

c.P(C) = at least one boy is born.

2.The odds that a team will win in the finals is 4:3. What is their chance of winning?

3.The probability that a patient entering RG Hospital will consult a physician is 0.7, that he/she will consult a dentist is 0.5 and that he/she will consult a physician or a dentist or both is 0.9. What is the probability that a patient entering the hospital will consult both a physician and a dentist?

4. A Company has just paid a dividend of 100 euros today (beginning of period 1). This company is at a mature stage and has a ROE of 10% and a payout ratio of 50%. The required return of the shareholders is rE=25%. It is estimated that the share can be sold at the end of the period (period 1) at a price equal to P1=1,210 euros, right after the dividend D1 of that period has been paid. What is the maximum Price that the shareholder would be willing to pay for this share today (beginning of period 1). Show work.

a) 1,052 euro

b) 6,051.25 euro

c) 1,100 euro

d) None of the above

Exercise 1-3. [LO 4]

Guthrie Wilson is an accountant at Bellwether Systems, a company that sells and installs customer relationship management (CRM) systems. The company sells third- party software at cost plus 25 percent and charges a fee of $300 per hour of installation/integration time spent on each engagement. Recently Guthrie’s boss asked him to charge 60 hours of time to the Bradley account when the time was actually worked servicing the IMG account. The rationale: “Look, IMG is a struggling start-up and they can barely afford our service. We ran over our time estimate due to some unforeseen problems, and they’ll balk if we charge them for all of our time. Bradley, on the other hand, is a highly profitable company, and we’re providing services that are going to make them even more profitable. They’ll have no problem with their bill.”

Required:

Review the IMA’s ethical standards in the appendix. What do the standards suggest that Guthrie should do to resolve the issue he’s facing?

Please provide response to four (4) of the seven (7) questions listed below.

1. For corporate advocates of the specific CSR theory, what are the responsibilities the corporation holds, and how are conflicts between those responsibilities managed?

2. Create a hypothetical situation in which philanthropy would not be required of a corporation by CSR theory.

3. What does sustainability mean within each of the three columns of the theory of the triple bottom line?

4. How does the fair trade movement fit together with the triple-bottom-line theory of corporate responsibility?

5. Who are the stakeholders in stakeholder ethics?

6. What does it mean for a corporate director to “balance stakeholder interests”?

7. What basic elements do CSR, the triple bottom line, and stakeholder theory have in common?

Question 1
The household expenditure (HK$) of 12 sampled families with 4 members in Hong Kong in September 2019 were as follows:

                  8095     6745     4427     2192     4697     7549
                  4302     4209     3520     7621     2757     6441

1. (a) Find the sample mean and sample standard deviation of the data.

2. (b) Find the inter-quartile range of the data.

3. (c) Find the 15th percentile and 85th percentile of the data.

4. (d) Use the sampled data as reference, what is the probability that the household expenditure of a family with

   4 members in Hong Kong in September 2019 was more than $5000?

5. (e) Use X to denote the household expenditure in a month and Y to denote the household saving in a month.

   Assume Y = 6200 - 0.4X. Find the mean, standard deviation and the variance of variable Y in this sample.

4. (Reflected random walk) Let {Xn|n ≥ 0} be as in Q6. Show that Xn+1 = X0 + Zn+1 − Xn m=0 min{0, Xm + Vm+1 − Um+1}, where Zn = Xn m=1 (Vm − Um), n ≥ 1. Q5. (Extreme value process) Let {In|n ≥ 0} be an i.i.d. sequence of Z-valued random variables such that P{I1 = k} = pk, k ∈ Z and pk > 0 for some k > 0. Define Xn = max{I1, I2, · · · , In}, n ≥ 1, X0 = 0. Show that {Xn|n ≥ 0} is a Markov chain. Also find the transition matrix.

Q6. (Truncated input-output process) In a discrete time input-output system, let Xn denote the number of units of an item at end of the nth period, (n − 1, n]. In each period (n − 1, n], the system has an input(arrival) Vn and an output (departure) Un, n ≥ 1. The system disregard any output if its exit makes the state of the system negative. We assume that {(Un, Vn)|n ≥ 1} is an i.i.d. sequence such that Un is independent of Vn for all n and P{U1 = k} = qk, k ≥ 0 and P{V1 = k} = pk, k ≥ 0. Assume that X0 is Z +-valued random variable independent of {(Un, Vn)|n ≥ 1}. Show that {Xn|n ≥ 0} is a Markov chain

Q5. (Extreme value process) Let {In|n ≥ 0} be an i.i.d. sequence of Z-valued random variables such that P{I1 = k} = pk, k ∈ Z and pk > 0 for some k > 0. Define Xn = max{I1, I2, · · · , In}, n ≥ 1, X0 = 0. Show that {Xn|n ≥ 0} is a Markov chain. Also find the transition matrix.

Problem 5-24 (Algorithmic) (LO. 1, 4)

At the start of the current year, Blue Corporation (a calendar year taxpayer) has accumulated E & P of $200,000. Blue's current E & P is $120,000, and at the end of the year, it distributes $400,000 ($200,000 each) to its equal shareholders, Pam and Jon. Pam's stock basis is $28,000; Jon's stock basis is $112,000. How is the distribution treated for tax purposes?

If an amount is zero, enter "0".

Each shareholder has dividend income of $.................. In addition, Pam has a reduction in stock basis to $.............. and a capital gain of $............. Jon has a reduction in stock basis to $...............

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