Solve all the following questions from chapter 4 :
1) If a dice is thrown up one time, what is the probability of getting a number greater
than 2 or less than 5 ?
2) If two dice are thrown up once, what is the probability to get total numbers less
than 8 or at most 5 ?
3) If a dice is thrown up one time, what is the probability of getting an odd number
giving that the number is divided by 3 ?
4) If two dice are thrown up once, what is the probability to get total numbers greater
than 11 if the second number is 5 ?
5) If A , B are two events , P(A) = 0.5 , P(B) = 0.2 , P(A and B) = 0.4 , find P(A or B)
6) If A , B are two independent events , P(A) = 0.24 , P(B) = 0.31 , Find P(A or B)
7) If A , B are two events , P(B) = 0.8 , P(A and B) = 0.5 , find P(A \ B)
8) If A , B are two events , P(B) = 0.35 , P(A \ B) = 0.14 , find P(A and B)

1)

a)draw the structure of histidine at pH 4 and at pH 8. Make sure you clearly indicate all charges.

b)Briefly describe the nature of the H-bonds that stabilize parallel and antiparallel -sheets. How do the H-bonds in these two types of secondary structure differ? You can draw simple diagrams if you wish, but there is no need for detailed structures.

Section 4

Homework Assignment

1. If the price of attending Big Benefits University is $42,000 a year, including tuition,

fees, books, and foregone earnings, what is the marginal cost of attending, if it takes you

5 years to graduate, and you assume a 3% annual inflation rate?

2. If the average college graduate makes $38,000 more every year than the average high

school graduate, what is the cumulative marginal benefit of a college education if the

average college graduate works for 40 years, assuming a 3% inflation rate?

3. Congratulations! Your first baby was born yesterday and is healthy and strong. To

guard against your premature death, you want to purchase a life insurance policy that will

replace $58,000 of your annual income until your child is 20 years old. How much life

insurance should you purchase, if you assume a 3% inflation rate? (Do NOT worry about

Social Security for this example)

4. You want to save for your child’s education, you can either choose an account that is

federally tax free that earns 6% or a regular taxed invested that earns 7%. If your

marginal tax rate is 25%, which should you choose?

5. If you save $50 a month for 18 years in an account that earns 5% annually, how much

money will you have for your child’s education?

6. If you want to have $50,000 for your child’s education in 18 years, how much do you

have to put away each year in account that earns 7% to reach that goal?

1. You are expecting to receive the following payments: $2,000 in year 4, $8,000 in year 8. What is the present value of the two payments today, if the interest rate is 5%?

2. Assume you wish to accumulate $100,000 in year 8. You plan to deposit $20,000 today in a bank that guarantees an interest rate of 12%. What additional amount will you have to put in year 5 to achieve this target?

3. You deposited $3,000 in a bank ten years ago. The balance on your account is currently showing $7,102.09. What interest rate did the bank pay on your deposit?

4. You deposit $5,000 in bank today . What is the future value of the sum in year 10 if the interest rate is 6% in years 1-5 and 8% in years 6-10?

1. Pick 4 glands, outline all of the hormones released, the target of each hormone, the stimulus (what causes it to be released), and the action of the hormone on the target.

2. Discuss the process of hemostasis and blood clotting

#4

The spot exchange rate today is ¥125 = $1. The U.S. discount rate is 10%; inflation over the next three years is 3% per year in the U.S. and 2% per year in Japan. There is a project that requires an initial investment of ¥1,000,000, and generates ¥500,000 each year in the following 3 years.
Find the dollar cash flows to compute the dollar-denominated NPV of this project.

Exchange rate in year 1 = _____   (Round your answer to 2 decimal places)
Exchange rate in year 2 = _____ (Round your answer to 2 decimal places)
Exchange rate in year 3 =_____ (Round your answer to 2 decimal places)

Once you have the exchange rates for the next three years, find dollar cash flows to compute the dollar-denominated NPV = $_____

Use the same question from #4. The spot exchange rate today is ¥125 = $1. The U.S. discount rate is 10%; inflation over the next three years is 3% per year in the U.S. and 2% per year in Japan. There is a project that requires an initial investment of ¥1,000,000, and generates ¥500,000 each year in the following 3 years.
Find the Japanese cost of capital to compute the dollar-denominated NPV of this project.

Japanese cost of capital =_____ %. (Round your answer to 3 decimal places)
¥NPV = ¥_____
Convert ¥NPV into $NPV = $_____  

(Please type work do not write, thank you!)

Suppose you toss a fair coin 4 times. Denote the outcome to be 1 if you get a head and 0 if a tail.

a) Write down the sample space Ω

b) What is the probability of the event that you get head at least once?

c) If you get four same toss you will get 10 dollars, otherwise you will lose 2 dollars. On average, will you win or lose?

Case Studies #1 4‐year‐old was seen in the pediatrician’s office for vomiting and coughing for the past 2 days. He showed extensive bruising on his extremities and was lethargic and dehydrated. A viral illness had been spreading through the day care center he attends. WBC = 25 x109/L RBC = 3.4 x 1012/L Hct = 34% Plt = 50 x 109 /L 1. Which of these blood results demands the most immediate attention? a. WBC b. Platelet count c. RBC d. Hct 2. What condition is associated with viral illness and low platelets in children? a. DIT b. HIT c. TTP d. ITP 3. What is the mechanism of platelet destruction in this patient? a. Antibody coating of platelets leading to sequestration b. Immune destruction of platelets c. Missing vWF d. Improper mixing of sample

Suppose that demand for a product is P = MPB= 300-1/4(QD) and supply is P = MPC=
100+1/2(QS)

Furthermore, suppose that the marginal external damage of this product is $10 per unit.
Calculate the deadweight loss associated with this externality

Illustrate graphically the market failure and identify two policies government can use to
correct the externalities

Please remember to attach the graph

Maple Inc. owns equipment that it purchased on January 1, 2018 for $4 Million.

The following additional information is available:

Depreciation: 10-year useful life, straight line basis, no residual.

Dec 31, 2018 – Book value (after recording 2018 depreciation): $3,600,000

Dec 31, 2018 – Fair value: $4,500,000  

Dec 31, 2019 – Fair value $3,000,000

The company uses the revaluation model (asset adjustment method) to account for its property, plant and equipment.

Instructions

Assuming the entry for the current year's depreciation has already been recorded, prepare the entr(ies) at:

1. Dec 31, 2018
2. Dec 31, 2019