Except the classes mentioned below, no other classes$/$packages are allowed to solve the following problems. Otherwise, you will automatically receive a ZERO for that problem. Create a public class named Yourlastname$\_$Yourfirstname$\_$final $(5$ pts$),$ then import java.util.Arrays; import java.util.Scanner; import java.lang.IllegalStateException; import java.lang.IllegalArgumentException; import java.lang.Comparable; $1.$ Write a static method named problem$1$ that accepts an array of integer values. Loop through each integer and get the integers that don$$t contain digits $0$ or $9.$ Add them to an array and return this array. $(15$ pts$)$ Test case: array is $\{10,22,335,901,99,56\},$ return $\{22,335,56\}.2.$ Write a static method named problem$2.$ Give a while loop to keep asking the user for floating point values. When the user enters $$stop$,$ this loop should be terminated. Throw IllegalStateException if the user enters an integer value $($the value of the fractional part is $0).$ Calculate and return the sum of the fractional parts of the entered values. $(15$ pts$)$ Test case: if the entered values are $10\mathrm{.}5,225\mathrm{.}9,112\mathrm{.}33,$ and $1\mathrm{.}752,$ return $2\mathrm{.}482.($because $0\mathrm{.}5+0\mathrm{.}9+0\mathrm{.}33+0\mathrm{.}752=2\mathrm{.}482).3.$ Write a static method named problem$3$ that accepts a string. Assume this string contains many words that are separated by spaces. Extract all the words into an array and capitalize each word $($the first letter must be upper case and the rest of letters must be lower case$),$ then put the capital letter at the end of the word. Return this array. $(15$ pts$)$ Test case: string is $$syntax is the arrangement of words to form a language$,$ return $\{$yntaxS$,$sI$,$heT$,$rrangementA$,$fO$,$ordsW$,$oT$,$ormF$,$A$,$anguageL$\}.4.$ Write the main method to run each method with the provided test case. $(10$ pts$)$ Below this Yourlastname$\_$Yourfirstname$\_$final class, create a default class named Passenger. $(15$ pts$)$ In this class, create a static variable, called numPassenger, to keep track of the number of Passenger objects that have been created. A passenger object should include the following attributes: $$ id: an automatically generated string as the unique identifier of a passenger. Should be generated based on the value of numPassenger. For example, the first passenger object$$s id should be $1.$ ticketType: a string to represent the type of tickets. There are three types of tickets: $$aisle$,$middle$,$ and $$window$.$ Throw IllegalArgumentException for all other values. $$ price: double, the ticket price should be determined by ticketType: