(a) Consider the following two stage process:

                        Stage 1. The system absorbs 83 J of heat and during this process it had 44 J of work done on it.

                        Stage 2. The system absorbs 63 J of heat and during this process it does 27 J of work on the surroundings.

                        Calculate Q, w, and ΔE for the overall process

(b) A piston is compressed from a volume of 7.5 L to 2.2 L at a constant pressure of 1.5 atm. During this process, the system also absorbs 266 J of heat. Calculate ΔE for this process.

A 4-cylinder ammonia compressor with a bore 0.04 m & stroke 0.03 m running 2500. The system operates in a simple VCC with evaporating & condensing temperatures zero C & 40 C, respectively generating cooling capacity 5 tons.
Determine:
a. Draw the PH diagram indicating all enthalpies & sp. vol.
b. Piston displacement, m3/sec
c. Suction Volume, m3/sec
d. Volumetric efficiency
e. Mass of refrigerant, kg/sec
f. Work of compressor, kW

A 4-cylinder ammonia compressor with a bore 0.04 m & stroke 0.03 m running 2500. The system operates in a simple VCC with evaporating & condensing temperatures zero C & 40 C, respectively generating cooling capacity 5 tons.
Determine:
a. Draw the PH diagram indicating all enthalpies & sp. vol.
b. Piston displacement, m3/sec
c. Suction Volume, m3/sec
d. Volumetric efficiency
e. Mass of refrigerant, kg/sec
f. Work of compressor, kW

Question 1

The travel agency Paradise Retreats has developed a model to predict the price per night of holiday apartment rentals in the coast of Croatia:

?=550+11?1−5?2

?: price of the apartment per night (in kunas)

?1: area of the apartment (in square meters)

?2: distance to the beach (in km)

According to Paradise Retreats’ model:

How much more expensive (in kunas) will be the rental of a 60 square-meter apartment on the beachfront compared with a 60 square-meter apartment 10 km from the beach?

Introduce your answer as a positive number.

How much will the price per night decrease when the area of the apartment decreases by 20 square meters?

Introduce your answer as a positive number.

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Question 2

The summary output of Paradise Retreats' model in Excel is in the tables below:

According to the tables, which of the following statements about this regression model are true?

A) This regression model explains less than 60% of the variation of the price per night.

B) The area of the apartment is not significant at a confidence level of 95%.

C) The area of the apartment is not significant at a confidence level of 99%.

D) The area of the apartment is significant at a confidence level of 99%.

E) The distance to the beach is not significant at a confidence level of 99%.

F) None of the above.

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Question 3

Paradise Retreats offer a wide range of options for an unforgettable holiday in Croatia. Their portfolio includes apartments on the coast and cabins in the mountains. On average, their customers book many more apartments than cabins every month. Paradise Retreats analyzed some historical data, did a chi-squared test and confirmed that the number of apartments booked every month follows a normal distribution with an average of 23 and a standard deviation of 7.

What is the probability that more than 29 apartments are booked through Paradise Retreats in a month?

Write your answer not as a percentage, but as a decimal number with 4 decimal places (e.g. if the probability is 87.56%, write 0.8756 in the answer box).

What is the probability that less than 21 apartments are booked through Paradise Retreats in a month?

Write your answer not as a percentage, but as a decimal number with 4 decimal places (e.g. if the probability is 87.56%, write 0.8756 in the answer box).

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Question 4

The number of mountain cabins that are booked through Paradise Retreats every month follows a Poisson distribution with a mean of 4. At Paradise Retreats, they are considering to reduce the number of cabins included in their portfolio.

What is the probability that at least one cabin is booked through Paradise Retreats in any given month?

Write your answer not as a percentage, but as a decimal number with 4 decimal places (e.g. if the probability is 87.56%, write 0.8756 in the answer box).

If Paradise Retreats only has 3 cabins available for rent, what is the probability of not meeting the demand for cabins during a given month?

Write your answer not as a percentage, but as a decimal number with 4 decimal places (e.g. if the probability is 87.56%, write 0.8756 in the answer box).

5. Comparing equity financing with debt financing. Consider two $60,000 investments – call
them Investment A and Investment B. Both investments will earn $5,000 with a probability
of 0.5 and $1,000 with a probability of 0.5. Investment A will use 100% equity financing
(issuing stocks). Investment B will get $30,000 through issuing stocks and $30,000 through
issuing bonds. Investment B must pay 4% interest on the bonds.
a. Calculate the expected returns on equity (returns after interest payments divided by the
amount of equity) for Investment A and Investment B. Express the returns as a percentage.
b. If the investments earned the lower amount ($1,000), what is the rate of return on equity
for Investment A and Investment B? If the investments earned the higher amount ($5,000),
what is the return on equity for Investment A and Investment B?
c. Using your answers from ‘a’ and ‘b’, what is the standard deviation of the rate of return
on equity in each case? Which investment has the highest expected returns on equity?
Which has the lowest risk? What explains the difference in risk between the two
investments?

All answers were generated using 1,000 trials and native Excel functionality.) Suppose that the price of a share of a particular stock listed on the New York Stock Exchange is currently $39. The following probability distribution shows how the price per share is expected to change over a three-month period: Stock Price Change ($) Probability –2 0.05 –2 0.10 0 0.25 +1 0.20 +2 0.20 +3 0.10 +4 0.10 (a) Construct a spreadsheet simulation model that computes the value of the stock price in 3 months, 6 months, 9 months, and 12 months under the assumption that the change in stock price over any three-month period is independent of the change in stock price over any other three-month period. For a current price of $39 per share, what is the average stock price per share 12 months from now? What is the standard deviation of the stock price 12 months from now? Based on the model assumptions, what are the lowest and highest possible prices for this stock in 12 months?

In a souvenir, 100 tourist enter each day. Assume that each tourist's decision to purchase a souvenir is independent of one another. The probability that a tourist purchases a souvenir is 40%. The probability that a tourist purchases a souvenir is 40%. The probability that a tourist purchases more than one souvenir is 0%.

(a) What is the expected number of purchases each day?

(b) What is the probability that 48 tourist make purchases on a particular day?

(c) Assume that each souvenir is sold for $8. 90% of the time, what is the minimum revenue of the shop?

(d) What is the probability that the 5th tourist of a particular day makes the first purchase of that day?

(e) On another day, 70 tourist make purchases in the souvenir shop of all the tourist that visited, 8 different tourist are surveyed. What is the probability that 5 of the surveyed. What is the probability that 5 of the surveyed tourist need a purchase?

The grapefruit are sold in sacks of 8. Let x be the number of good grapefruit in a sack. Use the given table to answer the questions

x p(x)

0 0.001

1 0.008

2 0.041

3 0.124

4 0.232

5 0.278

6 0.209

7 0.090

8 0.017

a) What is the probability of getting at most 2 good grapefruit in a sack ?

b) What is the Probability of getting at least 6 good grapefruit in a sack?

c) What is the probability of getting exactly 4 good grapefruit in a sack?

d) What is the probability of getting fewer than 4 good grapefruit in a sack?

e) What is the probability of getting all of them good grapefruit in a sack?

f) What is the probability of getting none of them good grapefruit in a sack?

g) What is the probability of getting between 4 and 6 ( exclusive) good grapefruit in a sack?

Write a program that determines the probability of tossing a coin 10 times and getting exactly 0, 1, 2, 3, etc. heads. This is the binomial probability distribution. Store the probability in an array. You could get 0 heads or 10 heads or anything inbetween.

Use a for loop. The for loop will go from 0 to 10 inclusive. Use r as the number of successes. So r will go from 0 to 10. The probability of a success is .5, and also the probability of a failure is .5.

Print out in table form, column 1=r; goes 0 to 10, and then column 2; the probability of r.

Use 4 decimal places for the probability. You know if you get the correct answers because The sum of all the probabilities is 1.0, and all probabilities are in the range of 0 to 1 inclusive.

In C++, prefer visual studios but not required.

In the accompanying​ table, the random variable x represents the number of televisions in a household in a certain country. Determine whether or not the table is a probability distribution. If it is a probability​ distribution, find its mean and standard deviation.

x | P(x)

0 | 0.05

1 | 0.12

2 | 0.24

3 | 0.31

4 | 0.17

5 | 0.11

If the table is a probability​ distribution, what is its​ mean? Select the correct choice below and fill in any answer boxes within your choice.

A. Its mean is ____ . ​(Round to the nearest tenth as​ needed.)

B. The table is not a probability distribution.

If the table is a probability​ distribution, what is its standard​ deviation? Select the correct choice below and fill in any answer boxes within your choice.

A. Its standard deviation is ______.

B. The table is not a probability distribution.