QUESTION 3 There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 25 years with a standard deviation of 5.1 years. A random sample of 36 students is selected. Compute the expected value of the sample mean. 5 points

QUESTION 4 There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 24 years with a standard deviation of 25.5 years. A random sample of 55 students is selected. Compute the standard deviation of the sample mean. 5 points

QUESTION 5 There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 24 years with a standard deviation of 3.81 years. What is the smallest sample size such that the standard deviation of the sample mean is 0.5 years or less? (Enter an integer number.) 10 points

QUESTION 6 There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 24 years with a standard deviation of 3 years. A random sample of 36 students is selected. What is the probability that the sample mean will be less than 24.88 years? 10 points

QUESTION 7 There are 8,000 students at the School of Management, UT Dallas. The average age of all the students is 24 years with a standard deviation of 3 years. A random sample of 36 students is selected. What is the probability that the sample mean will be greater than 23.22 years?

java circular linked list

/*
* Complete the playGame(int players, int passes) method
* Complete the addPlayers(int players) method
* Complete the passPotatoe(int passes) method
* No other methods/variables should be added/modified
*/
public class A3CircleLL {
   /*
   * Grading:
   * Correctly uses helpers to play game - 1pt
   * Prints correct winner when game is complete - 0.5pt
   */
   public void playGame(int players, int passes) {
       /*
       * Use the helper methods addPlayers and passPotatoe to play the game
       * Continue passing the potato until only 1 player remains
       * Print the winning players number
       *
       * For players = 5 and passes = 3, the winner should be 1. Players should be removed in this order:
       * - 4, 3, 5, 2
       */
   }
   /*
   * Grading:
   * Correctly creates circular linked list of size amount - 1pt
   */
   private void addPlayers(int amount) {
       /*
       * Set up this method to create a Node for each player
       * The value of each Node, should be the player number, starting at 1
       * For example, if the amount is 5, there should be Nodes 1-5
       * Node 1 should always be set as the start
       * Make list circular by connecting the last player Node to the first
       */
   }
   /*
   * Grading:
   * Correctly removes the player the number of passes away from the start - 1pt
   * Correctly changes the start to the player after the one being removed - 0.5pt
   */
   private void passPotato(int passes) {
       /*
       * Set up this method to play a single round of the game
       * Move through the list the number of passes from the start
       * Remove the player/Node at this position
       * Set the start equal to the player/Node after this position
       * Do not play a round if there is one 1 player remaining
       * Print the player number that was removed and the player with the potato
       */
   }

   private Node start;
   private int count;
   public A3CircleLL() {
       start = null;
       count = 0;
   }
   public String printList() {
       String output = "";
       if(start != null) {
           Node current = start;
           do {
               output += current.value + ",";
               current = current.next;
           }while(current != start);
       }
       return output;
   }
   public String toString() {
       return this.printList();
   }
   private class Node {
       Integer value;
       Node next;
       public Node(Integer v) {
           value = v;
           next = null;
       }
   }
}

------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

public class A3Driver {
  
   public static void main(String[] args) {
      
       A3DoubleLL<Integer> list = new A3DoubleLL<>();
       for(int i = 1; i < 10; i++) {
           list.add(i);
       }
       System.out.println("Before Swap");
       System.out.println(list.printList());
       System.out.println(list.printListRev());
       list.swap(4);
       System.out.println("After Swap");
       System.out.println(list.printList() + ":1,2,3,4,6,5,7,8,9,");
       System.out.println(list.printListRev() + ":9,8,7,6,5,4,3,2,1,");
       System.out.println();
      
       System.out.println("Hot Potatoe");
       A3CircleLL hotPotato = new A3CircleLL();
       hotPotato.playGame(5, 3);
       System.out.println("Correct:");
       System.out.println("Removed Player 4\nRemoved Player 3\nRemoved Player 5\nRemoved Player 2\nWinning player is 1");
       System.out.println();
      
       A3Queue<Integer> queue = new A3Queue<>();
       queue.enqueue(5);
       queue.enqueue(20);
       queue.enqueue(15);
       System.out.println(queue.peek()+":5");
       System.out.println(queue.dequeue()+":5");
       queue.enqueue(25);
       System.out.println(queue.dequeue()+":20");
       System.out.println(queue.dequeue()+":15");

   }
}

Find the subgroup of d4 and the normal and non normal subgroups of d3 and d4 using u and v, u being the flips and v being the rotations.

Show that dg = -sdT + vdp is equivalent to dg = v(dp/dv)dv + (v(dp/dt)-s)dt gibbs energy equation

If the cell potential for a voltaic cell is 0.250 V, and the reduction potential for the oxidation reaction is ⎯0.150 V, what is the reduction potential for the reaction occurring at the cathode?

1. For the pair of species given:
   1. Lithium (E° = -3.05 V) and silver (E° = 0.80 V)
   2. Aluminum (E° = -1.66 V) and zinc (E° = -0.76 V)
      1. Write balanced half-reactions and the overall spontaneous reaction.
      2. Diagram the cell. Be a specific as possible including labeling electrodes with their charges and names (anode and cathode), showing the direction of electron flow in the circuit and showing the direction of cation and anion flow in the salt bridge.
      3. Calculate the cell potential for the overall reaction.
      4. Calculate the Gibbs free energy for the overall reaction.
      5. Write the standard cell notation for the overall reaction.
      6. Calculate K_eq for the spontaneous reaction.

Show that the moment of inertia of a spherical shell of radius R and mass M about an axis through
its centre is 2/3 MR2. Show also that the moment of inertia of a uniform solid sphere of radius R and

mass M is 2/5MR2. The spheres are allowed to roll (from rest), without slipping a distance L down
a plane inclined at a angle θ to the horizontal. Find expressions for the speeds of the spheres at the
bottom of the incline and show that ∆v/〈v〉 = 8.7% where ∆v is the difference in the speeds and 〈v〉 is

the mean of the two speeds. Which sphere has the larger speed?

Your driving time to work T (continuous random variable) is between 24 and 66 minutes if the day is sunny, and between 49 and 82 minutes if the day is rainy, with a uniform probability density function in the given range in each case.

Assume that a day is sunny with probability Ps = 0.64 and rainy with probability Pr = 1 -Ps.

Your distance to work is X = 50 kilometers. Let V be your average speed for the drive to work, measured in kilometers per minute:

V=T/X

Compute the value of the probability density function (PDF) of the average speed V at V = 0.67

A transportation engineer collected the data shown in the Table below. Develop a linear v-k model, and then establish v-q and q-k relationships. Draw v-k, v-q and q-k diagrams and depict all of the critical values (i.e., free-flow speed, jam density, maximum traffic flow, critical speed and density) in the three diagrams