Modifying the Coin Class

Create a new class named BiasedCoin that models a biased coin $($heads and tails are not equally likely outcomes of a flip$).$ To do this modify the coin class from the text $($in the file Coin.java below$)$ as follows:

a$.$ Add a private data member bias of type double. This data member will be a number between $0$ and $1($inclusive$)$ that represents the probability the coin will be HEADS when flipped. So$,$ if bias is $0\mathrm{.}5,$ the coin is an ordinary fair coin. If bias is $0\mathrm{.}6,$ the coin has probability $0\mathrm{.}6$ of coming up heads $($on average, it comes up heads $60\%$ of the time$).$

b$.$ Modify the default constructor by assign ${?}^m$ g the value $0\mathrm{.}5$ to bias before the call to flip. This will make the default coin a fair one.

c$.$ Modify flip so that it generates a random number then assigns face a value of HEADS if the number is less than the bias; otherwise it assigns a value of TAILS.

d$.$ Add a second constructor with a single double parameter $--$ that parameter will be the bias. If the parameter is valid $($a number between $0$ and $1$ inclusive$)$ the constructor should assign the bias data member the value of the parameter; otherwise it should assign bias a value of $0\mathrm{.}5.$ Call flip $($as the other constructor does$)$ to initialize the value of face.

Compile your class to make sure you have no syntax errors.

Write a program that uses three BiasedCoin objects. Instantiate one as a fair coin using the constructor with no parameter. Read in the biases for the other two coins and instantiate those coins using the constructor with the bias as a parameter. Your program should then have a loop that flips each coin $100$ times and counts the number of times each is heads. After the loop print the number of heads for each coin. Run the program several times testing out different biases.