Write a Java program to simulate a bank account. The bank account class should have at least following three operations: deposit, withdraw, and display (balance as well as history of transactions). Assume overdraft is not allowed and the maximum number of transactions is 10. All monetary values used here are floating point type.

1. In the bankAccount class, you should have one variable called totalBalance to balance of an account, a static variable called totalAccounts to track how many accounts have been created, and an array called transactionHistry that recorded the history of transactions associated with that account;

2. Write a constructor using key word this when you initialize the variable totalBalance with the initial value passed as the argument to the constructor. The static variable totalAcounts should be updated within the constructor as well;

3. Implement the deposit and withdraw methods by updating the variable totalBalance and the array transactionHistry;

4. Implement the display methods so that the information like follows will be printed out on the screen:

totalAccounts: 1;
Information about current bank account:
totalBalance: $134.45
tansactionHistry:
deposit: $100.00;
deposite:$55.55;
withdraw: $-15.00
withdraw: $-6.10

5. Use Object-Oriented Programming technique to write a test program, which should run each operation at least once.

Critical thinking
In order to make your program robust, you need to think different scenarios such as:

1. How to enforce the overdraft protection?

2. What if the use input a negative number other than a positive number as the input to your methods?

3. What if a user tries to do transactions when they reach the maximum already?

4. Where should we initialize the static variable totalAccounts?

Optional Information:
Computer OS: Windows 7
Browser: Firefox
Programming Language: Java