The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon. ​

(a) What proportion of hybrids gets over 61 miles per​ gallon?

(b) What proportion of hybrids gets 52 miles per gallon or​ less?

(c) What proportion of hybrids gets between 59 and 62 miles per​ gallon?

(d) What is the probability that a randomly selected hybrid gets less than 46 miles per​ gallon?

Chubbyville purchases a delivery van for $24,100. Chubbyville estimates a four-year service life and a residual value of $1,900. During the four-year period, the company expects to drive the van 104,000 miles. 1. Straight-line. 2. Double-declining-balance. (Round your depreciation rate to 2 decimal places. Round your final answers to the nearest whole dollar.) 3. Actual miles driven each year were 24,000 miles in Year 1; 32,000 miles in Year 2; 22,000 miles in Year 3; and 24,000 miles in Year 4. Note that actual total miles of 102,000 fall short of expectations by 2,000 miles. Calculate annual depreciation for the four-year life of the van using activity-based. (Round your depreciation rate to 2 decimal places. Round your final answers to the nearest whole dollar.)

Next month there will a marathon. Ali, Mustafa, Ahmad, and Sami are friends and preparing for it. Each day of the week, they run a certain number of miles and write them into a notebook. At the end of the week, they would like to know the number of miles run each day, the total miles for the week, and average miles run each day.

Write a program to help them analyze their data. Your program must contain:

• parallel arrays: an array to store the names of the runners and
• a two-dimensional array of 4 rows and seven columns to store the number of miles run by each runner each day.
• then implement the following functions:
  • a function to read and store the runners’ names and the numbers of miles run each day;
  • a function to find the total miles run by each runner and the average number of miles run each day

a function to output the results

A trucking company determined that the distance traveled per truck per year is normally​ distributed, with a mean of 50 thousand miles and a standard deviation of 10 thousand miles. Complete parts​ (a) through​ (b) below.

a. What proportion of trucks can be expected to travel between 37 and 50 thousand miles in a​ year?

The proportion of trucks that can be expected to travel between 37 and 50 thousand miles in a year is__.

​(Round to four decimal places as​ needed.)

b. What percentage of trucks can be expected to travel either less than 30 or more than 65 thousand miles in a​year?

The percentage of trucks that can be expected to travel either less than 30 or more than 65 thousand miles in a year is__.

​(Round to two decimal places as​ needed.)

c. How many miles will be traveled by at least 80​% of the​ trucks?

The number of miles that will be traveled by at least 80​% of the trucks is nothing miles.

​(Round to the nearest mile as​ needed.)

A trucking company determined that the distance traveled per truck per year is normally​ distributed, with a mean of 80 thousand miles and a standard deviation of 10 thousand miles. Complete parts​ (a) through​ (c) below. a. nbsp What proportion of trucks can be expected to travel between 66 and 80 thousand miles in a​ year? The proportion of trucks that can be expected to travel between 66 and 80 thousand miles in a year is . 4192. ​(Round to four decimal places as​ needed.) b. nbsp What percentage of trucks can be expected to travel either less than 55 or more than 95 thousand miles in a​ year? The percentage of trucks that can be expected to travel either less than 55 or more than 95 thousand miles in a year is 7.30​%. ​(Round to two decimal places as​ needed.) c. nbsp How many miles will be traveled by at least 85​% of the​ trucks? The amount of miles that will be traveled by at least 85​% of the trucks is nothing miles. ​(Round to the nearest mile as​ needed.)

8. Peter Griffin calculates that his portfolio's risk, as measured by the standard deviation, is 19.67%. His portfolio is made up of many stocks from just two companies, South Park Company and Quahog Company. South Park Co.'s returns have a standard deviation of 12.9% and Quahog Co.'s returns have a standard deviation of 28.84%. If the weight of Quahog Co. in his portfolio is 48.21%, what is the correlation between the returns of Quahog and South Park.

9.

A portfolio has an excess return of 15.9 % and a standard deviation of 15.23 %. What is the Sharpe Ratio for this portfolio?

3. Design and draw a circuit using the cascade system to operate two cylinders (A and B) which, on the operation of a start valve, produces the sequence A – B + B – A+. The cylinders should park in the positions B – A + when the start switch is in the ‘off’ position.

4. Modify the circuit designed for question 3 to provide an emergency stop which will park both cylinders in the extended position (i.e. A + B +).

5. Modify the circuit designed for question 3 to provide a fail safe. The fail safe should:

(a) act in the event of a reduced pressure at inlet to the group selecting valve

(b) park the cylinders in the retracted position

Investment Timing Option: Decision-Tree Analysis Kim Hotels is interested in developing a new hotel in Seoul. The company estimates that the hotel would require an initial investment of $22 million. Kim expects the hotel will produce positive cash flows of $3.74 million a year at the end of each of the next 20 years. The project's cost of capital is 12%.

What is the project's net present value? A negative value should be entered with a negative sign. Enter your answer in millions. For example, an answer of $1.2 million should be entered as 1.2, not 1,200,000. Round your answer to two decimal places. $ million

Seong Hotels is interested in developing a new hotel is Seoul. The initial investment of the project is $20 million, but cashflows could differ if the government imposes a hotel tax. There is a 60% chance a hotel tax will be imposed and cash flows would be $2 million per year for 20 years. However, there is a 40% chance there will not be a tax imposed so cash flows would be $4 million per year for 20 years. They will not know if the tax will be imposed until next year. What is the project's expected NPV if they wait and implement the project one year from now? Cost of capital is 10%.

8. Consecutive losses of Ocean Park since 2016 and steadily losing visitors expose the park to the risk of forced closure in June if without the rescue money from the government.  Basing on the economic concepts/theories that you have learnt in the course and the information given here, explain why it has to close?