Problem 1: Write a program named GradeDistribution. java, that accepts a number N from the command argument list, Use the number N to initialize an int array with the size of N, then assign a random grades to each elements of the grades array. Calculate and display the average grades.

Problem 2:
Write a program named TossingCoiSimulation. java, that accepts a number N from the Cmd argument list. Your program will generate N random numbers: either 0 or 1, then count and display the number of 0s and 1s.

Problem 3:
Write a program named CountChar. java, implement a method specified below:

public static int countChar(char c, String str)

This method counts the number of occurrence of the character c in the String str.

Then test your method as follows:

1. Pass a character and a string as arguments to the main method
2. Call countChar method
3. Print how many times the character appears in the String

For example, if you pass the argument o "Introduction to Java Program", your program should display:

The character "o" appears in the String 4 times.

Create a class hand in its own module. one object of class hand represents a hand of cards and so one object stores a number of card objects. for this assignment you will submit three separate modules, one with the definition of class card, one with the definition of class hand and one with the main application that thoroughly tests class hand.class hand must contain the following four methods: 1) , numcardsinhand) takes an integer as parameter and initializes a hand object with numcardsinhand card objects inside it. these card objects are generated randomly. for simplicity, assume an infinite number of decks of cards.2) bjvalue(self) returns the blackjack value for the whole hand of cards3) ) returns a string containing all the cards in the hand4) hitme(self) adds one randomly generated card to the handcreate a main program in its own module that thoroughly tests class hand. you will have three modules/files to upload to your etudes assignment submission: card.py, hand.py and the module that contains your main program.two alternatives for extra credit - you cannot get credit for both! (+1 point): after you have thoroughly tested the class hand and all of its methods, add code to your main program that stores one hand object as a pickle file and reads it back into a new hand object. you are only eligible for this extra credit if class hand has all four of the methods above working.or(+2 points): after you have thoroughly tested the class hand and all of its methods, add code to your main program that stores one hand object as a text file on the disk and reads it back into a new hand object. you are only eligible for this extra credit if class hand has all four of the methods above working.notes: -start by making any and all modifications suggested by my comments to your previous submission of class card from assignment #6 "a robust card object"-once your class card is tested and working well, you will not make any further modifications to it for the purposes of class hand.-you can keep the test code for class card intact. if it is indented inside an if __name__ == "__main__", then it will not be executed when your main program's module imports it.-to save time, write and test one method for class hand at a time.-under no circumstances are you to attempt the extra credit until you are completely finished with writing and testing all the methods in class hand.