Problem E Let X be the number of heads in n flips of a coin with proba.pdf
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Problem E Let X be the number of heads in n flips of a coin with probability of heads p . Let Y = X / n be the proportion of heads. What are E [ Y ] and Var ( Y ) ? What happens as n ?.
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PLEASE PLEASE USE THE CODE BELOW..... THANK YOU
public class SinglyLinkedList<E> implements Cloneable {
//---------------- nested Node class ----------------
/**
* Node of a singly linked list, which stores a reference to its
* element and to the subsequent node in the list (or null if this
* is the last node).
*/
private static class Node<E> {
/** The element stored at this node */
private E element; // reference to the element stored at this node
/** A reference to the subsequent node in the list */
private Node<E> next; // reference to the subsequent node in the list
/**
* Creates a node with the given element and next node.
*
* @param e the element to be stored
* @param n reference to a node that should follow the new node
*/
public Node(E e, Node<E> n) {
element = e;
next = n;
}
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/**
* Returns the element stored at the node.
* @return the element stored at the node
*/
public E getElement() { return element; }
/**
* Returns the node that follows this one (or null if no such node).
* @return the following node
*/
public Node<E> getNext() { return next; }
// Modifier methods
/**
* Sets the node's next reference to point to Node n.
* @param n the node that should follow this one
*/
public void setNext(Node<E> n) { next = n; }
} //----------- end of nested Node class -----------
// instance variables of the SinglyLinkedList
/** The head node of the list */
private Node<E> head = null; // head node of the list (or null if empty)
/** The last node of the list */
private Node<E> tail = null; // last node of the list (or null if empty)
/** Number of nodes in the list */
private int size = 0; // number of nodes in the list
/** Constructs an initially empty list. */
public SinglyLinkedList() { } // constructs an initially empty list
// access methods
/**
* Returns the number of elements in the linked list.
* @return number of elements in the linked list
*/
public int size() { return size; }
/**
* Tests whether the linked list is empty.
* @return true if the linked list is empty, false otherwise
*/
public boolean isEmpty() { return size == 0; }
/**
* Returns (but does not remove) the first element of the list
* @return element at the front of the list (or null if empty)
*/
public E first() { // returns (but does not remove) the first element
if (isEmpty()) return null;
return head.getElement();
}
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* Returns (but does not remove) the last element of the list.
* @return element at the end of the list (or null if empty)
*/
public E last() { // returns (but does not remove) the last element
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}
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* Adds an element to the front of the list.
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//---------------- nested Node class ----------------
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*
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*/
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element = e;
next = n;
}
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/**
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* @return the element stored at the node
*/
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* Returns the node that follows this one (or null if no such node).
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*/
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/** The head node of the list */
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