Given a random sample of size of n = 4,900 from a binomial probability distribution with P = 0.50​, complete parts​ (a) through​ (e) below.

a. Find the probability that the number of successes is greater than 2,535.

P(X>2535) =

b. Find the probability that the number of successes is fewer than 2,410.

P(X<2410) =

c. Find the probability that the number of successes is between 2,440 and 2,520.

P(2440 < X < 2520) =

d. With probability .20​, the number of successes is fewer than how​ many?

P(X < _ ) = .20

JAVA

Remember the childhood game “Rock, Paper, Scissors”? It is a two-players game in which each person simultaneously chooses either rock, paper, or scissors. Rock beats scissors but loses to paper, paper beats rock but loses to scissors, and scissors beats paper but loses to rock. Your program must prompt the player 1 and player 2 to each enter a string for their choice: rock, paper, or scissors. Then appropriately reports if “Player 1 wins”, “Player 2 wins”, or “It is a tie.” Your program should work for both lower case and uppercase letters. If the user string is not rock, scissors or paper the program will print “Wrong choice”.

Sample Run: User input is in Bold.

Player 1: Choose rock, scissors, or paper:

rock

Player 2: Choose rock, scissors, or paper:

paper

Player 2 wins.

Player 1: Choose rock, scissors, or paper:

scissors

Player 2: Choose rock, scissors, or paper:

rock

Player 2 wins.

Player 1: Choose rock, scissors, or paper:

PAPER

Player 2: Choose rock, scissors, or paper:

Rock

Player 1 wins.

Player 1: Choose rock, scissors, or paper:

rock

Player 2: Choose rock, scissors, or paper:

pen

Wrong choice!

A cylinder with a moveable piston contains 0.553 mol of gas and has a volume of 256 mL .

What will its volume be if an additional 0.246 mol of gas is added to the cylinder? (Assume constant temperature and pressure.)

If a sports team is maximizing their wins, is that the same as maximizing their profits? Explain at least three ways that teams seek to maximize their profits.

b. Using at least 2 teams from the following list, explain how teams can become wealthy even if they do not win all the time.

The World Cup and NBA free agency have dominated the sports headlines this month. Soccer and basketball are global sports with incredible growth prospects, thanks to their international reach. More than three billion people tune in to watch the World Cup every four years. Nike uses NBA stars like LeBron James and Kevin Durant to pitch the wares of the sports giant around the globe.

But despite the global popularity of basketball and soccer, American football is still king on the financial ledger. The NFL lands 29 teams among the 50 most valuable sports teams in the world (only the Bills, Bengals and Lions missed the cut from the NFL). Football ranks well ahead of basketball (8 teams), soccer (7 teams) and baseball (6 teams).

The NFL is still the dominant sport in the world's biggest economy. Thirty-seven percent of Americans picked football as their favorite sport to watch in the latest Gallup Poll. Football is down from it's peak of 43% a dozen years ago, but it still crushes basketball (11%), baseball (9%) and soccer (7%).

TV networks pay billions to satisfy viewers wanting NFL action. NFL teams evenly divvied up $8.2 billion, or $255 million per team, last season from shared league revenue, with TV rights deals from CBS, NBC, Fox, ESPN and DirecTV the bulk of the money. Factor in a salary cap that restricts player costs to 50% of league revenue and NFL owners are minting money with average profits of $101 million per team in the sense of earnings before interest, taxes, deprecation and amortization.

Below is a breakdown of the world's 50 most valuable sports franchises. Click here for more on the top teams.

Rank, Team, Value, 1-Year change (Sport)

1. Dallas Cowboys, $4.8 billion, 14% (NFL)

2. Manchester United, $4.123 billion, 12% (Soccer)

3. Real Madrid, $4.09 billion, 14% (Soccer)

4. Barcelona, $4.064 billion, 12% (Soccer)

5. New York Yankees, $4 billion, 8% (MLB)

6. New England Patriots, $3.7 billion, 9% (NFL)

7. New York Knicks, $3.6 billion, 9% (NBA)

8. Los Angeles Lakers, $3.3 billion, 10% (NBA)

8. New York Giants, $3.3 billion, 6% (NFL)

10. Golden State Warriors, $3.1 billion, 19% (NBA)

10. Washington Redskins, $3.1 billion, 5% (NFL)

12. Bayern Munich, $3.063 billion, 13% (Soccer)

13. San Francisco 49ers, $3.05 billion, 2% (NFL)

14. Los Angeles Dodgers, $3 billion, 9% (MLB)

14. Los Angeles Rams, $3 billion, 3% (NFL)

16. Chicago Cubs, $2.9 billion, 8% (MLB)

17. San Francisco Giants, $2.85 billion, 8% (MLB)

17. Chicago Bears, $2.85 billion, 6% (NFL)

19. Boston Red Sox, $2.8 billion, 4% (MLB)

19. Houston Texans, $2.8 billion, 8% (NFL)

21. New York Jets, $2.75 billion, 0% (NFL)

22. Philadelphia Eagles, $2.65 billion, 6% (NFL)

23. Chicago Bulls, $2.6 billion, 4% (NBA)

23. Denver Broncos, $2.6 billion, 8% (NFL)

25. Miami Dolphins, $2.575 billion, 8% (NFL)

26. Green Bay Packers, $2.55 billion, 9% (NFL)

27. Boston Celtics, $2.5 billion, 14% (NBA)

27. Baltimore Ravens, $2.5 billion, 9% (NFL)

29. Atlanta Falcons, $2.475 billion, 16% (NFL)

30. Manchester City, $2.474 billion, 19% (Soccer)

31. Pittsburgh Steelers, $2.45 billion, 9% (NFL)

32. Seattle Seahawks, $2.425 billion, 9% (NFL)

33. Minnesota Vikings, $2.4 billion, 9% (NFL)

34. Oakland Raiders, $2.38 billion, 13% (NFL)

35. Indianapolis Colts, $2.375 billion, 9% (NFL)

36. Brooklyn Nets, $2.3 billion, 28% (NBA)

36. Carolina Panthers, $2.3 billion, 11% (NFL)

38. Los Angeles Chargers, $2.275 billion, 9% (NFL)

39. Arsenal, $2.238 billion, 16% (Soccer)

40. Houston Rockets, $2.2 billion, 33% (NBA)

41. Los Angeles Clippers, $2.15 billion, 7% (NBA)

41. Arizona Cardinals, $2.15 billion, 6% (NFL)

43. New York Mets, $2.1 billion, 5% (MLB)

43. Kansas City Chiefs, $2.1 billion, 12% (NFL)

45. Jacksonville Jaguars, $2.075 billion, 6% (NFL)

46. Chelsea, $2.062 billion, 12% (Soccer)

47. Tennessee Titans, $2.05 billion, 2% (NFL)

48. New Orleans Saints, $2 billion, 14% (NFL)

49. Tampa Bay Buccaneers, $1.975 billion, 10% (NFL)

50. Cleveland Browns, $1.95 billion, 5% (NFL)

The diagram below shows how a chemical reaction in a cylinder with a piston that affects the volume of the system. Use this diagram to answer the following questions.

Which of the following statements best describes the reaction?

Part 1 (1 Point)

Choose one:

A.   Work is done by the system on its surroundings.

B.   Work is done on the system by the surroundings.

C.   No work is being done.

D.   A conclusion cannot be determined from the information given.

Part 2   (2 points)

If the reaction is endothermic, what happens to the internal energy of the system when the reaction is proceeding?

Choose one:

A.   It increases.

B.   It decreases.

C.   It remains constant.

D.   A conclusion cannot be determined from the information given.

a. If a 6 cm diameter cylinder containing 2 g of an ideal gas at 25o C is fitted with a 5 kg piston with a 20 kg weight on the piston, calculate the pressure and volume of the ideal gas if the atmospheric pressure is 1 atm. If the 20 kg weight is removed, provide detailed comments without further calculations on what would happen. You may assume a molecular weight of 28 for the gas.

b. Calculate the energy required to heat a gas from 30o C to 150o C if the gas flow rate and pressure at the heater outlet are 1.5 m3 /min and 125 kPa absolute respectively. Assume the specific enthalpy change is about 4,000 J/mol for the process.   

Design an electro-pneumatic circuit to control a double-acting cylinder via a 5/2 way singlesolenoid valve. The on switch is of detent type and when actuated, the piston will repeatedly extend and retract until the switch is released. The length of forward stroke and the speed of forward and return motion should be adjustable via roller-limit switches and flow control valves respectively.

(a) Show pneumatic and electrical circuits for indirect control of the system described above, i.e. each switch in the circuit indirectly controls the output components via a dedicated relay. [15]

(c) Redesign your circuit incorporating non-contact sensing for piston position detection using three-wire capacitive sensors.

A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is Normally Distributed with ? = 0.001 ??. A random sample of 9 rings has a mean diameter of ? = 74.036 ??

a. What is a 95% ?????????? ???????? for the true mean diameter of the piston rings. Use the given ? = 0.001 ??.

b. Interpret the ?????????? ???????? constructed in part (a)

c. For mathematical purposes, assume for a moment that the given standard deviation is the sample standard deviation, ? = 0.001. Construct a new 95% ?????????? ???????? using the sample standard deviation.

d. Compare your answers in (a) and (c), and explain why do you agree or disagree with the statement: “the ? ?????????? ????????? are wider than the ? ?????????? ?????????”.

e. The standard deviation calculated for the sample was found to be, ? = 0.0025. Use the calculated sample standard deviation and construct a new 95% ?????????? ????????.

A piston-cylinder device initially has a volume of 1.5 m3 containing steam at 300 kPa absolute and 150 oC. It is then heated so it expands at constant pressure until it reaches a temperature of 400 oC.

Draw a diagram of the device showing system boundary and flows of energy. What boundary work is done by the cylinder, in kJ, during the expansion? State your assumptions.

1. What is the mass of steam in the piston-cylinder?

2. How much heat is added to the cylinder, in kJ, during the expansion? State your assumptions.

3. Assuming there are no irreversibilities during the expansion; S.GEN=0, does the entropy of the steam decrease, remain constant, or increase during the expansion? Explain your answer.

Evaluate the processes of excretion through kidneys and sweat glands by which an animal removes waste from its body