15.0 L of an ideal monatomic gas at 3.00 atm and 450 K are contained in a cylinder with a piston. The gas first cools isochorically to 270 K (step 1). It then expands isobarically back to its original temperature (step 2), and then contracts isothermally back to its original volume (step 3).

a) Show the series of processes on a pV diagram.

b) Calculate the temperature, pressure, and volume of the system at the end of each step in the process. Indicate the p and V values on the pV diagram.

c) Compute the total work done by the gas on the piston during each step of the cycle in L-atm, and the total work done by the gas for one complete cycle.

d) Compute the heat added during each step of the cycle in L-atm, and the net heat added for one cycle. Compare the total work done with the net heat added.

e) Is this an engine or a refrigerator? If it is an engine, what is its efficiency; if it is a refrigerator, what is its coefficient of performance?

A certain elevator cab has a total run of 193 m and a maximum speed is 322 m/min, and it accelerates from rest and then back to rest at 1.18 m/s². (a) How far does the cab move while accelerating to full speed from rest? (b) How long does it take to make the nonstop 193 m run, starting and ending at rest?

Answer the following questions:
1. Guests at a busy eight-story four-star hotel are consistently complaining about having
to wait too long for the elevator. At 8:00am, some of the elevators are in use by the
housekeeping department whose associates are going up to begin work on the guest
rooms. At the same time, room service has an elevator blocked off to serve in-room
breakfasts because the kitchen and the banqueting departments are using the service
elevators. Then, at about 10:30 am, the housekeepers use the elevators to go down for
their morning break. Guests have come to you as a front office supervisor to report the
issue.

Question:
The general manager recognises your potential and asks you to come up with
suggestions to take care of the problem/challenge. 20 marks

2. As a front office supervisor, you have realised that a client disagrees with your front
office clerk on a request being made. The client is not happy about the outcome and is
seriously angry. Does that mean that the message has not been properly understood by
the client? Or could it mean something else? Explain 20 marks

For each statement, select the phrase that makes the statement true (e.g., if the answer to the first is A and to the others B, enter ABBBB):

1. 
   
2. Two identical shallow containers are placed on identical scales. A live duck is put in one container. Both containers are then filled with water to their brims; it is observed that the duck is standing on the bottom of its container. The reading on the scale under the container with the duck is ____ the reading on the other scale.
3. A boat containing a cement block floats in a swimming pool. The water level in the pool ____ when the cement block is thrown to the shore.
4. A block of wood floats in a pail of water in a stationary elevator. The level of water in the pail ____ when the elevator accelerates upward.
5. Two balloons of the same volume are filled with helium and hydrogen, respectively. The buoyant force on the helium-filled balloon is ____ the buoyant force on the hydrogen-filled balloon.
6. A glass containing an ice cube is filled with enough water to float the ice cube. The water level in the glass ____ when the ice cube melts.

1. The Super Bowl Indicator Theory suggests that the stock market will have a positive year if the team in the National Football Conference, or a team with an NFC origin, wins. If the American Football Conference team wins, the market will fall. According to the recent news (MarketWatch, 2/6/2017), it has accurately predicted the direction of the market for the year following 40 of the 50 Super Bowls since the first super bowl in 1967. Why do we have such phenomena? Is the finding consistent with market efficiency? Please discuss.

Introduction to java: Gambling

Objectives:

•Performing decisions using if and switch statements.

•Using relational and logical operators

•Working with random numbers

Write an application that simulates a gambling slot machine. In the application, perform the following tasks:

1. Prompt the player to enter the amount of money that the player is willing to gamble.

2. Create three random numbers in range from one to four to represent three of the following four objects (Apple, Orange, Cherry and Pineapple).

3. Compare the numbers for equality and calculates the prize.oIf all three numbers are the same, the player wins three times the amount inserted.oIf two objects are the same the player wins back the amount inserted (gets the money back), otherwise the player wins $0.

4. Display the randomly selected objects (fruits names, not integers). Use switch or if else statements to examine the randomly created integers in order to display the corresponding fruits.

5. Display the dollar amount that the player wins

6. Here is an example what the program should do:

Enter the dollar amount inserted into the slot machine: 100

Orange Apple Cherry

Sorry, you lost

Or

Enter the dollar amount inserted into the slot machine: 100

Orange Cherry Cherry

Congratulations, you won $100

Or

Enter the dollar amount inserted into the slot machine: 100

Orange Orange Orange

Congratulations, you won $300

Consider a poor couple making decisions about the number of children. Suppose that in this society, there is no old age insurance, and parents must rely on their children for support.

Parents would like to receive old age support with a probability of at least q. Denote the number of children by n. Let p be the probability that a child (male or female) looks after the parents in old age.

a) What is the probability that a child does not look after the parents in old age?

b) What is the probability that out of n children at least one child looks after the parents in old age? Assume each child’s decision is independent of all others.

c) Find an expression that gives the optimal rule for the parents for deciding the number of children, given that they want the probability of being looked after to be at least q.

d) Let q=15/16 and p=1/2.What is the number of children that this couple will choose to have?

Fifty percent of households say they would feel secure if they had​ $50,000 in savings. You randomly select 8 households and ask them if they would feel secure if they had​ $50,000 in savings. Find the probability that the number that say they would feel secure is​ (a) exactly​ five, (b) more than​ five, and​ (c) at most five.

​(a) Find the probability that the number that say they would feel secure is exactly five.

​P(5)=_ ​(Round to three decimal places as​ needed.)

​(b) Find the probability that the number that say they would feel secure is more than five.

​P(x>​5)=_ (Round to three decimal places as​ needed.)

​(c) Find the probability that the number that say they would feel secure is at most five.

​P(x≤​5)=_ (Round to three decimal places as​ needed.)

The number of people arriving for treatment at an emergency room can be modeled by a Poisson process with a rate parameter of 5 per hour. In other words, the mean number of people arriving in one hour is 5. (Use R)

(a) What is the probability that exactly four arrivals occur during a particular hour?

(b) What is the probability that at least 4 people arrive during a particular hour?

(c) What is the probability that at most 4 people arrive during a particular hour?

(d) Since the mean number of people arriving during one hour is 5, the mean number of people arriving in half hour would be 2.5. Given this information, what is the probability that more than 5 people would arrive in any particular 45-minute period?

Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.07 Suppose​ that, on a given​ day, 24 online retail orders are placed. Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable. Complete parts​ (a) through​ (d) below.

a. What are the mean and standard deviation of the number of online retail orders that turn out to be​ fraudulent?

The mean number of online retail orders that turn out to be fraudulent is

The standard deviation of the number of fraudulent retail orders is

b. What is the probability that zero online retail orders will turn out to be​ fraudulent?

c. What is the probability that one online retail order will turn out to be​ fraudulent?

d. What is the probability that two or more online retail orders will turn out to be​ fraudulent?