Java Inheritance of Classes

I am trying to figure out Inheritance and Arrays in Java and I am trying to get these classes to work together. I believe I have the Inheritance down, but I am still struggling with the array part.

There are three files: 1. Person.java -base class 2. Student.java -a derived class of Person.java 3. Family.java -not quite sure, I think it's its own base class

Person.java has two instance variables, String name and int age, and an assortment of constructors, toString, equals, and set/get methods

Student.java, again, a derived class of Person, by definition will have all the stuff contained within Person, as well as two more instance vars, String major, and double gpa. This class also have get/set methods for major and gpa, an equals method that compares one class student with another class student, and I believe it's called an overidden method of toString that returns name, age, major, and gpa all in one string.

Lastly, Family.java is where the main method resides. It creates an array of type Person, adds "Persons" to this array, then outputs them.

I am getting an error that says: "main" java.lang.ArrayIndexOutOfBoundsException: 8

I can not figure out why this program is not working properly and would appreciate any help to figure this out. Thank you.

Person.java Class

    public class Person 
{
private String name;
private int age;

public Person()
{
    name = "John Smith";
    age = 1;
}

public Person(String n, int a)
{
    name = n;
    age = a;
}

public String toString()
{
    return ("Name: " + getName() + ", Age: " + age + " ");
}

public boolean equals(Person otherPerson)
{
    return (getName().equals(otherPerson.getName()) && (age == otherPerson.age));
}

public String getName() 
{
    return name;
}

public void setName(String newName)
{
    name = newName;
}

public int getAge() 
{
    return age;
}

public void setAge(int newAge)
{
    age = newAge;
}

}

Student.java Class

public class Student extends Person
{
private String major;
private double gpa;

public Student()
{
    super();
    major = "Undecided";
    gpa = 0.0;
}

public Student(String theName, int theAge, String theMajor, double theGpa)
{
    super(theName, theAge);
    setMajor(theMajor);
    setGpa(theGpa);
}

public String toString()
{
    return ("Name: " + getName() + ", Age: " + getAge() + ", Major: " + major + ", GPA: " + gpa);
}

public boolean equals(Student otherStudent)
{
    return (major.equals(otherStudent.major) && (gpa == otherStudent.gpa));
}

public String getMajor() 
{
    return major;
}

public void setMajor(String newMajor)
{
    major = newMajor;
}

public double getGpa() 
{
    return gpa;
}

public void setGpa(double newGpa)
{
    gpa = newGpa;
}

}

Family.java Class

public class Family
{
private int famArray = 0;
private Person[] family;

public Family(int size_of_family)
{
    famArray = size_of_family;
    family = new Person[famArray];
}   
public void addPerson(Person p)
{
    boolean isPresent = false;

    int i;
    for(i = 0; i < family.length; i++)
    {

        if(family[i] != null && family[i].equals(p))
        {
            isPresent = true;
            System.out.println(p.getName() + 
            " is already present in the family");
        }                       
    }      
    if(isPresent == false)
        family[i] = p;
}
public void printOutFamily()
{
    for(int i = 0; i < family.length; i++)
    {
        System.out.println(family[i].toString());
    }
}
public static void main(String[] args)
{
    Family f = new Family(8);
    Person fred= new Person("Fred Flintstone", 50);
    System.out.println("created " + fred);
    f.addPerson(fred);
    f.addPerson(fred);

    Student fredStudent = new Student("Fred Flintstone", 50, "Math", 3.1);
    System.out.println("created "+ fredStudent);
    f.addPerson(fredStudent);

    Person wilma = new Person("Wilma Flintstone", 48);
    f.addPerson(wilma);


    Student george= new Student("George", 21, "Politics", 3.1);
    System.out.println("created " + george);
    f.addPerson(george);

    george.setName("Georgie");
    f.addPerson(new Student("George", 21, "Politics", 3.1));



    f.addPerson(new Student("John", 18, "Geology", 2.9));
    f.addPerson(new Student("Jane", 21, "Music", 3.2));
    f.addPerson(new Student("Tarzan", 22, "Gymnastics", 4.0));
    f.addPerson(new Student("Jim", 21, "Physics", 2.5));


    System.out.println("****** family listing: ");
    f.printOutFamily();

}
}