please include comments. $1.$ Create a JavaFX application that simulates a coin being tossed. When the user clicks a button, the application should generate a random number in the range of $0$ to $1.$ If the number is $0,$ the coin has landed on $$heads$,$ and if the number is $1,$ the coin has landed on $$tails$.$ Use an ImageView control, and download the coin images from online browser. $(40$pts$)$

Hint: for the random generator import java.util.Random; and create an object rand for the Random class. Then use rand.nextInt$(2)$ method to generate random number.

$2.$ Create a JavaFX application for a university that has the following dormitories: $(80$ points$)$

$($Use Listview$)$

$$ DormA: $$1000$ per semester

$$ DormB: $$1200$ per semester

$$ DormC: $$1500$ per semester

The university offers the following meal plans: $($Use Radio Button$)$

$7$ meals per week: $$200$ per semester

$14$ meals per week: $$400$ per semester

$$ Unlimited meals: $$500$ per semester

The user must select a Dorm and a meal plan. In addition, the following miscellaneous options are available: $($Use Checkboxes$)$

$$ Bowling night: $$50$ per semester

$$ Movie night: $$40$ per semester

The application should calculate and output the total charges for the semester. Please use ONLY JavaFX.

$3.$ Recursive Multiplication $(30$ pts$)$

Write a recursive function that accepts two arguments into the parameters x and y$.$ The function should return the value of x times y$.$ Remember; multiplication can be performed as repeated addition as follows:

$7*4=4+4+4+4+4+4+4$