(IN PYTHON)

Write a program that asks the user repeatedly to enter a student's score or enter -1 to stop. When finished entering all the scores, the program should display the number of scores entered, the sum of the scores, the mean, the lowest and the highest score.

(IN PYTHON)

Suppose you have an experiment where you flip a coin three times. You then count the number of heads.

1. State the random variable.
2. Write the probability distribution for the number of heads.
3. Draw a histogram for the number of heads.
4. Find the mean number of heads.
5. Find the variance for the number of heads.
6. Find the standard deviation for the number of heads.
7. Find the probability of having two or more number of heads.
8. Is it unusual to flip two heads?

The surface water in your backyard pong has a pH=7.7 and its chemistry is dominated by the carbonate system. For the carbonate system, a pKa₁=6.35 and a pKa₂=10.33 give important information about the equilibrium condition of the carbonate system at various pH values.

a. Which carbonate species ([H₂CO₃], [HCO₃^-], and [CO₃^-2] would you expect to be the dominate species? Why?

b. The pond is not equilibrated with the atmosphere at pH=7.7. What changes will take place if the water equilibrates with the atmosphere (e.g., you turned on a bubbler in the pond)?

c. What would you expect in pH readings if your pond water began to experienc an algal bloom? Explain how the pH would change over 24-hour cycle and why? Write any chemical equations that explain the observed pH readings in the water.

1. Pong Golf has decided to sell a new line of golf clubs. The clubs will sell for $825 per set and have a variable cost of $415 per set. The company has spent $250,000 for a marketing study that determined the company will sell 68,000 sets per year for seven years. The marketing study also determined that the company will lose sales of 9,500 sets per year of its high-priced clubs. The high-priced clubs sell at $1,275 and have variable costs of $580. The company will also increase sales of its cheap clubs by 10,250 sets per year. The cheap clubs sell for $395 and have variable costs of $195 per set. The fixed costs each year will be $18,500,000. The company has also spent $1,800,000 on research and development for the new clubs. The plant and equipment required will cost $27,500,000 and will be depreciated using the MACRS seven-year useful life table. The new clubs will also require an increase in net working capital of $1,250,000 that will be returned at the end of the project. At the end of the projects life, the capital equipment will be sold for its book value. The tax rate is 22 percent, and the cost of capital is 15 percent.

1. Calculate the payback period, the NPV and the IRR.
2. Test the sensitivity of NPV and IRR to a $30 decrease in the price of the new clubs.
3. Test the sensitivity of NPV and IRR to a $25 increase in the variable cost of the new clubs.

1. Pong Golf has decided to sell a new line of golf clubs. The clubs will sell for $825 per set and have a variable cost of $415 per set. The company has spent $250,000 for a marketing study that determined the company will sell 68,000 sets per year for seven years. The marketing study also determined that the company will lose sales of 9,500 sets per year of its high-priced clubs. The high-priced clubs sell at $1,275 and have variable costs of $580. The company will also increase sales of its cheap clubs by 10,250 sets per year. The cheap clubs sell for $395 and have variable costs of $195 per set. The fixed costs each year will be $18,500,000. The company has also spent $1,800,000 on research and development for the new clubs. The plant and equipment required will cost $27,500,000 and will be depreciated using the MACRS seven-year useful life table. The new clubs will also require an increase in net working capital of $1,250,000 that will be returned at the end of the project. At the end of the projects life, the capital equipment will be sold for its book value. The tax rate is 22 percent, and the cost of capital is 15 percent.

1. Calculate the payback period, the NPV and the IRR.
2. Test the sensitivity of NPV and IRR to a $30 decrease in the price of the new clubs.
3. Test the sensitivity of NPV and IRR to a $25 increase in the variable cost of the new clubs.

PLEASE INCLUDE NUMBERS (1,2,3) TO SHOW WHICH PART IS WHICH.

Pong Golf has decided to sell a new line of golf clubs. The clubs will sell for $825 per set and have a variable cost of $415 per set. The company has spent $250,000 for a marketing study that determined the company will sell 68,000 sets per year for seven years. The marketing study also determined that the company will lose sales of 9,500 sets per year of its high-priced clubs. The high-priced clubs sell at $1,275 and have variable costs of $580. The company will also increase sales of its cheap clubs by 10,250 sets per year. The cheap clubs sell for $395 and have variable costs of $195 per set. The fixed costs each year will be $18,500,000. The company has also spent $1,800,000 on research and development for the new clubs. The plant and equipment required will cost $27,500,000 and will be depreciated using the MACRS seven-year useful life table. The new clubs will also require an increase in net working capital of $1,250,000 that will be returned at the end of the project. At the end of the projects life, the capital equipment will be sold for its book value. The tax rate is 22 percent, and the cost of capital is 15 percent.

A: Calculate the payback period, the NPV and the IRR.

B:Test the sensitivity of NPV and IRR to a $30 decrease in the price of the new clubs.

C:Test the sensitivity of NPV and IRR to a $25 increase in the variable cost of the new clubs.

The number of actual fire emergencies (emergencies where there is actually a fire) per week as the fire service
in Stavanger can be described with a Poisson distribution with parameter λ = 1.8.

a) What is the probability of exactly three calls in a week?

What is the probability of more than three calls in a week?

What is the probability of at least an emergency during one day?

What is the expected number of calls in a year?

The time, measured in number of days, that passes between two subsequent real fire calls is exponentially distributed with parameter λ = 1.8 / 7 = 0.26 (the time between subsequent events in a Poisson process is exponentially distributed).

b) What is the expected number of days between two consecutive calls?
What is the probability that there will be more than 1 day between two consecutive calls?
What is the probability that there will be less than 2 days between two consecutive calls?
What is the probability that there will be between 1 and 2 days between two subsequent calls?

The number of actual fire emergencies (emergencies where there is actually a fire) per week as the fire service
in Bergen can be described with a Poisson distribution with parameter λ = 1.8.

a)

What is the probability of exactly three calls in a week?
What is the probability of more than three calls in a week? What is the probability of at least an emergency during one day?
What is the expected number of calls in a year?

The time, measured in number of days, that goes between two subsequent real fire events is exponentially distributed with parameter λ = 1.8 / 7 = 0.26 (the time between subsequent events in a Poisson process is exponentially distributed).

b)

What is the expected number of days between two consecutive calls?
What is the probability that there will be more than 1 day between two subsequent calls?
What is the probability that less than 2 days will elapse between two subsequent calls?
What is the probability that there will be between 1 and 2 days between two subsequent calls?

A.) Use the following information for the next two questions. Suppose the risk free rate is 4%. Consider the following three borrowers: A, B, and C. Their probability of repayment (p) is .95, .92, and .90, respectively, with associated gammas of .3, .4, and .6, respectively. Where gamma = % recovery in event of default. Which borrower would be charged the highest loan rate?

B.) How much would A's loan rate increase if the loan was unsecured?