A piston-cylinder assembly contains 2.5 kg of saturated refrigerant R-134a with a quality of 10 % at 0 °C (State 1). There is a linear spring mounted on the piston such that when the mixture is heated the pressure reaches 1000 kPa with a volume of 70 L just as the piston touches the stop (State 2). The system is then heated further until a pressure of 1200 kPa is reached (State 3). a) Find the volume of the refrigerant in State 1. b) Calculate the work done by the device during the process from State 1 to State 3. c) Calculate the heat transfer required for this process. Also clearly indicate the direction of the heat transfer (whether into or out of the piston-cylinder system).

x	P(x)
0	0.15
1	0.1
2	0.3
3	0.45

Find the mean of this probability distribution. Round your answer to one decimal place.

2

x	P(x)
0	0.05
1	0.15
2	0.25
3	0.55

Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places

3

2.36 Is it worth it?: Andy is always looking for ways to make money fast. Lately, he has been trying to make money by gambling. Here is the game he is considering playing: The game costs $2 to play. He draws a card from a deck. If he gets a number card (2-10), he wins nothing. For any face card ( jack, queen or king), he wins $3. For any ace, he wins $5, and he wins an extra $20 if he draws the ace of clubs. Round answers to 2 decimal places.


a) Andy's expected profit per game is: $


b) Would you recommend this game to Andy as a good way to make money? Explain.

• Yes, Andy could be lucky and might earn money in the long-run playing this game
• No, we expect Andy to lose money each time he plays this game

4

2.38 Baggage fees: An airline charges the following baggage fees: $25 for the first bag and an extra $35 for the second. Suppose 54% of passengers have no checked luggage, 34% have only one piece of checked luggage and 12% have two pieces. We suppose a negligible portion of people check more than two bags.


a) The average baggage-related revenue per passenger is: $ (please round to the nearest cent)
b) The standard deviation of baggage-related revenue is: $ (please round to the nearest cent)
c) About how much revenue should the airline expect for a flight of 120 passengers? $ (please round to the nearest dollar)

5

For a group of four 70-year old men, the probability distribution for the number xx who live through the next year is as given in the table below.

xx	P(x)P(x)
0	0.0132
1	0.1030
2	0.3013
3	0.3916
4	0.1909

Verify that the table is indeed a probability distribution. Then find the mean of the distribution.
mean =
Report answer accurate to 1 decimal place.

6

Consider the discrete random variable XX given in the table below. Calculate the mean, variance, and standard deviation of XX.

XX	2	3	15	19
P(XX)	0.08	0.13	0.11	0.68

μμ =
σ2σ2 =
σσ =


What is the expected value of XX?

7

A bag contains 4 gold marbles, 9 silver marbles, and 24 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win $4, if it is silver, you win $3. If it costs $1 to play, what is your expected profit or loss if you play this game?

$

8

The PTO is selling raffle tickets to raise money for classroom supplies. A raffle ticket costs $3. There is 1 winning ticket out of the 180 tickets sold. The winner gets a prize worth $76. Round your answers to the nearest cent.

What is the expected value (to you) of one raffle ticket? $

I need help with this

thanks

1. A laboratory worker finds that 3% of his blood samples test positive for the HIV virus. In a random sample of 70 blood tests, what is the mean number that test positive for the HIV virus? (Round your answer to 1 decimal place)

2. A laboratory worker finds that 3% of his blood samples test positive for the HIV virus. In a random sample of 70 blood tests, what is the standard deviation of the number of people that test positive for the HIV virus? (Round your answer to 1 decimal place)

3.

In a certain college, 33% of the physics majors belong to ethnic minorities. If 8 students are selected at random from the physics majors, what is the probability that more than 5 belong to an ethnic minority?

a. 0.0187

b. 0.9154

c. 0.0846

d. 0.0659

4. Only 35% of the drivers in a particular city wear seat belts. Suppose that 20 drivers are stopped at random what is the probability that exactly four are wearing a seatbelt? (Round your answer to 4 decimal places)

5. Is the binomial distribution appropriate for the following situation:

Joe buys a ticket in his state’s “Pick 3” lottery game every week; X is the number of times in a year that he wins a prize.

a. yes

b. no

c. cannot be determined

An elevator at the bottom of a 80 foot shaft weighs 1500 pounds. The 80 foot cable that lifts the elevator weighs 400 pounds. Assume that the cable has uniform weight over its length. Answer the following questions to calculate the work that is done to raise the elevator 50 feet up from the bottom of the shaft. (a) Write a Riemann sum that approximates the work needed to lift the 50 ft up the shaft. (b) Write and evaluare an integral to calculate the work done to raise the cable 50 ft up the shaft. (c) What is the total work required to lift the cable and elvator 50 ft up the shaft?

Women have a pulse rates that are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 per minute.

a) Dr. Purets sees exactly 25 female patients each day. Find the probability that 25 randomly selected have a mean pulse rate between 70 beats per minute and 85 beats per minute.

b) Two percent of the women with the highest pulse rates have a rate greater than what number?

I don't know if you have the stats for this but I tried to put them in here and it told me this is too long. I do not have Minitab so I would need it in Excel please and thank you so much. It will not let me put all the info in here. Says its too long.

Refer to the Baseball 2016 data, which report information on the 30 Major League
Baseball teams for the 2016 season.
a. At the .05 significance level, can we conclude that there is a difference in the mean
salary of teams in the American League versus teams in the National League?
b. At the .05 significance level, can we conclude that there is a difference in the mean
home attendance of teams in the American League versus teams in the National
League?
c. Compute the mean and the standard deviation of the number of wins for the
10 teams with the highest salaries. Do the same for the 10 teams with the lowest
salaries. At the .05 significance level, is there a difference in the mean number of
wins for the two groups? At the .05 significance level, is there a difference in the
mean attendance for the two groups? Team Team Salary Attendance Wins Arizona 65.80 2080145 79 Atlanta 89.60 2001392 67 Baltimore 118.90 2281202 81 Boston 168.70 2880694 78 Chicago Cubs 117.20 2959812 97 Chicago White Sox 110.70 1755810 76 Cincinnati 117.70 2419506 64 Cleveland 87.70 1388905 81 Colorado 98.30 2506789 68 Detroit 172.80 2726048 74 Houston 69.10 2153585 86 Kansas City 112.90 2708549 95 LA Angels 146.40 3012765 85 LA Dodgers 230.40 3764815 92 Miami 84.60 1752235 71 Milwaukee 98.70 2542558 68 Minnesota 108.30 2220054 83 NY Mets 100.10 2569753 90 NY Yankees 213.50 3193795 87 Oakland 80.80 1768175 68 Philadelphia 133.00 1831080 63 Pittsburgh 85.90 2498596 98 San Diego 126.60 2459742 74 San Francisco 166.50 3375882 84 Seattle 123.20 2193581 76 St. Louis 120.30 3520889 100 Tampa Bay 74.80 1287054 80 Texas 144.80 2491875 88 Toronto 116.40 2794891 93 Washington 174.50 2619843 83

In the carnival game​ Under-or-Over-Seven, a pair of fair dice is rolled​ once, and the resulting sum determines whether the player wins or loses his or her bet. For​ example, using method​ one, the player can bet $2.00 that the sum will be under​ 7, that​ is, 2,​ 3, 4,​ 5, or 6. For this​ bet, the player wins $2.00 if the result is under 7 and loses $2.00 if the outcome equals or is greater than 7.​ Similarly, using method​ two, the player can bet $2.00 that the sum will be over​ 7, that​ is, 8,​ 9, 10,​ 11, or 12.​ Here, the player wins $2.00 if the result is over 7 but loses $2.00 if the result is 7 or under. A third method of play is to bet ​$2.00 on the outcome 7. For this​ bet, the player wins $8.00 if the result of the roll is 7 and loses $2.00 otherwise.

Outcomes of a two dice roll

	1	2	3	4	5	6
1	2	3	4	5	6	7
2	3	4	5	6	7	8
3	4	5	6	7	8	9
4	5	6	7	8	9	10
5	6	7	8	9	10	11
6	7	8	9	10	11	12

a. Construct the probability distribution representing the different outcomes that are possible for a $2.00 bet using method one.

X	​P(X)
​

​(Type an exact answer in simplified​ form.)

b. Construct the probability distribution representing the different outcomes that are possible for a $2.00 bet using method two.

X	​P(X)
​

​(Type an exact answer in simplified​ form.)

c. Construct the probability distribution representing the different outcomes that are possible for a ​$2.00 bet using method three.

X	​P(X)
​

​(Type an exact answer in simplified​ form.)

d. What is the expected​ long-run profit​ (or loss) to the player for each of the three methods of​ play?

Method one expected profit​ (or loss)	muμ	equals=	​
Method two expected profit​ (or loss)	muμ	equals=
Method three expected profit​ (or loss)	muμ	equals=	​
			​$​(Round to the nearest cent as​ needed.)

Use C++

Black Jack

Create a program that uses methods and allows the user to play the game of blackjack against the computer dealer. Rules of Blackjack to remember include:

1. You need one 52 card deck of cards with cards from  2-Ace (4 cards of each number).

2. Jacks, Queens and Kings count as 10 points.

3. An Ace can be used as either 1 or 11 depending on what the user decides during the hand.

4. Draw randomly two cards for the "dealer" and display one of them while keeping the other hidden. Also, randomly draw two cards for the player and display them in view.

5. Allow the user to hit (randomly draw a card) as many times as they wish. If the player "busts" or gets over 21, the dealer automatically wins the players wager.

6. After the user "stands" or is satisfied with his total, the dealer must take a card if his total is 16 or below, and cannot take a card if his total is 17 or above.

7. If the dealer "busts" or goes over 21, the player wins back his wager plus his wager again. (Example - if a player bets $3 he gets back his original $3 plus an additional $3).

8. If neither the dealer or the player "busts" or goes over 21, then the highest total wins. Ties go to the dealer.

9. Note - the player should start with $20 in the bank and cannot wager more than he currently has in the bank.  

10.  Note - before each round the user can bet in whole dollars how much to wager or how much of the total in the bank to risk.

11. Allow the user to quit at any time. Of course, the user must quit if he/she runs out of money.

12. Remember, somehow ensure that the same card (example - 6 of spades) cannot be drawn twice in a single hand.

Employee Number	Age	Salary	Degree	Gender
1.	32	$98,000	None	Female
2.	35	$121,00	Bachelors	Female
3.	48	$125,000	Masters	Male
4.	40	$141,000	Masters	Male
5.	43	$152,000	Masters	Male

Visit with a company of your interest Your Task: 1. Collect the following Information a. Age of the employees b. Salary of each employee c. highest degree possible d. Gender of each employee Employee Table of Information Collected form #1 above.

2. Stem-and-Leaf Display for the age of the employee

3. Descriptive statistics for the salary

4. Histogram between degree and Salary

5. What is the probability that employee is female?

6. What is the probability that employee makes above the average salary (Look at the mean in number 2)?

Please post answer in excel spreadsheet as an attachment. Thank you.