The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to detect the moths. When traps are checked periodically, the mean number of moths trapped is only 0.4, but some traps have several moths. The distribution of moth counts is discrete and strongly skewed, with standard deviation 0.9.

What is the mean (±0.1) of the average number of moths x⎯⎯⎯x¯ in 60 traps?      
And the standard deviation? (±0.001)   

Use the central limit theorem to find the probability (±0.01) that the average number of moths in 60 traps is greater than 0.4:     

.

Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. The article “Methodology for Probabilistic Life Prediction of Multiple-Anomaly Materials” (Amer. Inst. of Aeronautics and Astronautics J., 2006: 787–793) proposes a Poisson distribution for X. Suppose μ = 4.

1. (a)

   Compute both P(X ≤ 4) and P(X < 4).

2. (b)

   Compute P(4 ≤ X ≤ 8).

3. (c)

   Compute P(8 ≤ X).

4. (d)

   What is the probability that the observed number of anomalies exceeds the expected number by no more than one standard deviation?

On the basis of past experience, Martin Clothing Store manager estimates that the probability that any one customer will make a purchase is 0.30. Martin Clothing Store forecasts ten customers will enter the store in the next hour; the expected number of customers who will make a purchase is __________. The standard deviation for the number of customers who will make a purchase is __________. NOTE: Write your answers in number format, with 2 decimal places of precision level. Add a leading minus sign symbol, a leading zero and trailing zeros, when needed. Use a period for the decimal separator and a comma to separate groups of thousands.

Suppose that a long distance taxi service owns 4 vehicles. These are of different ages and have different repair records. The probabilities that, on a given day, each vehicle will be available for use are: 0.90, 0.90, 0.80, 0.70. Whether one vehicle is available is independent of whether any other vehicle is available. a. Find the probability distribution for the number of vehicles available for use on a given day. b. Find the expected number of vehicles available for use on a given day. c. Find the standard deviation of the number of vehicles available for use on a given day. Round your answer to four decimal points

A law firm specializing in corporate law has 4 lawyers. Because of various reasons, on any given day, the probabilities that each lawyer will be attending a trial is:  0.90, 0.90, 0.85, 0.80. Note that a lawyer attending a trial is independent of any other lawyer attending a trial

a.  Find the probability distribution for the number of lawyers who has a trial on a given day.

b. Find the expected number of lawyers attending to a trial on a given day.

c. Find the standard deviation of the number of lawyers attending to a trial on a given day. Round your answer to four decimal points.

Define a class of queues that implements the interface QueueInterface, as defined in Listing 7-1 in Chapter 7. Use an instance of the class ArrayList to contain a queues entries. Then write a driver/test program adequately demonstrates your new class. Note that you might have to handle exceptions thrown by methods of ArrayList.

Deliverables:

• EmptyQueueException.java (given in Lab_7_StartUp folder)
• QueueInterface.java (given in Lab_7_StartUp folder)
• ArrayListQueue.java (need to create)
• Lab7.java (need to create)

QueInterface:

@author Frank M. Carrano
@author Timothy M. Henry
@version 5.0
*/
public interface QueueInterface<T>
{
/** Adds a new entry to the back of this queue.
@param newEntry An object to be added. */
public void enqueue(T newEntry);
  
/** Removes and returns the entry at the front of this queue.
@return The object at the front of the queue.
@throws EmptyQueueException if the queue is empty before the operation. */
public T dequeue();
  
/** Retrieves the entry at the front of this queue.
@return The object at the front of the queue.
@throws EmptyQueueException if the queue is empty. */
public T getFront();
  
/** Detects whether this queue is empty.
@return True if the queue is empty, or false otherwise. */
public boolean isEmpty();
  
/** Removes all entries from this queue. */
public void clear();
} // end QueueInterface

EmptyQueueException:

/**
A class of runtime exceptions thrown by methods to
indicate that a queue is empty.
@author Frank M. Carrano
@author Timothy M. Henry
@version 5.0
*/
public class EmptyQueueException extends RuntimeException
{
public EmptyQueueException()
{
this(null);
} // end default constructor

public EmptyQueueException(String message)
{
super(message);
} // end constructor
} // end EmptyQueueException

What is the difference between the enzymes DNA polymerase I and ligase?

Select one:

a. DNA polymerase I binds to Okazaki fragments, removes the primers, and replaces them with DNA nucleotides.

b. Ligase binds to Okazaki fragments, removes the primers, and replaces them with DNA nucleotides.

c. DNA polymerase I attaches the fragments to make one single continuous strand.

d. Ligase attaches the Okazaki fragments to make one single continuous strand.

e. Both A and D are correct.

f. Both B and C are correct.

g. None of the above are correct.

--------

Where can telomeres be found?

Select one:

a. On the ends of prokaryotic chromosomes.

b. Telomeres have nothing to do with chromosomes.

c. Throughout prokaryotic chromosomes.

d. On the ends of eukaryotic chromosomes.

e. Throughout eukaryotic chromosomes.

-------

Which of the following is NOT a reason for mitotic cell division?

Select one:

a. Regular tissue regeneration

b. Tumor formation

c. Pollen production in flowers

d. Fetal growth

e. Tissue repair after injury

---------

Which of the following is true about a triploid organism with a n=3 during the G1 phase of the cell cycle

Select one:

a. It would have 9 X-shaped chromosomes

b. It would have 9 linear chromosomes

c. It would have 3 linear chromosomes

d. It would have 6 X-shaped chromosomes

e. It would have 3 X-shaped chromosomes

f. It would have 6 linear chromosomes

Determine the Output:

Package questions;

import java.util.*;

public class Quiz1 {

      public static void main(String[] args) {

            // TODO Auto-generated method stub

            System.out.println("*** 1 ***");

            ArrayList<Integer>list1=new ArrayList<Integer>();

            for(int i=0;i<30;i++)

            {

                  list1.add(new Integer(i));

            }

            System.out.print("[");

            for(int i=0;i<list1.size();i++)

            {

                  System.out.print(list1.get(i)+" ");

            }

            System.out.println("]");

            System.out.println("*** 2 ***");

            ArrayList<Integer>list2=new ArrayList<Integer>();

            for(int i=30;i<60;i++)

            {

                  list2.add(i); //Auto Boxing an Integer not need to use new Integer

            }

            System.out.println(list2); //toString for an ArrayList --created by the Java Programmers

            System.out.println("*** 3 ***");

            ArrayList<Integer>list3=new ArrayList<Integer>();

            list3.add(list1.remove(22)); //when an ArrayList removes an object it returns the object

            list3.add(list1.remove(0));

            list3.add(list1.remove(13));

            list3.add(list1.remove(7));

            list3.add(list1.remove(7));

            list3.add(list1.remove(13)); //remember as an ArrayList removes the size is reduced

            list3.add(list1.remove(11));

            list3.add(list1.remove(list1.size()-1));

            System.out.println(list3);

            System.out.println("*** 4 ***");

            System.out.println(list1);

            System.out.println("*** 5 ***");

            Collections.sort(list3);

            System.out.println(list3);

            System.out.println("*** 6 ***");

            System.out.print("{ ");

            for(int item:list3) //This is called unwrapping an Integer into an int

            {

                  if(item<10)

                        System.out.print("0");

                  System.out.print(item+" ");

            }

            System.out.println("}");

      }//end main

}//end class

/*

OUTPUT

*** 1 ***

*** 2 ***

*** 3 ***

*** 4 ***

*** 5 ***

*** 6 ***

*/

A game on The Price is Right has the contestant choose 12 tiles from a wall containing 25 tiles. Of the 25 ​tiles, 12 have a dollar sign on the back and the rest are blank. If all 12 of the tiles the constestant picks have a dollar​ sign, the contestant wins​ $100,000. However, if they pick just 10 tiles with the dollar​ sign, they win​ $10,000. In how many ways could the contestant pick exactly 10 of the 12 tiles with a dollar​ sign?