Question $1(25$ points$).$ Please use the Problem$-$Solving Process.

Write an application that uses an Array of $30$ Numbers $($random integers from $1-100)$ and returns the maximum number, minimum number, average of all numbers, and prints a Bar Chart to show the number distribution $(1-9,10-19,20-29,..\mathrm{.}80-89,90-100).$

Notes: Maximum number, minimum number, average number, and the Bar Chart must be implemented as separate methods in a separate class. Each method call requires an array as an argument. Please use the additional code given with this lesson to develop your application.

Question $2.(25$ points$).$ Please use the Problem$-$Solving Process.

Write a Java application that will initialize a two$-$dimensional array of any number of rows and with variable length columns.

Using a separate method, print out the values of the array in the defined rows and columns.

Determine the average value of all the elements in an array of numbers.

Example Declaration$/$Initialization:

int$[][]$ array$1=\{\{1,2,3\},\{4,5,6\}\}$;

int$[][]$ array$2=\{\{1,2\},\{3\},\{4,5,6\}\}$;

Example Output:

Values in array$1$ by row are:

$123$

$456$

The average value of array$1$ is: $3\mathrm{.}5$

Values in array$2$ by row are:

$12$

$3$

$456$

The average value of array$1$ is: $3\mathrm{.}5$

Question$3(25$ points$).$ Please write the Java Code that will execute the Array Expansion in figure $2\mathrm{.}5$ below. Note: Please use of the complete problem$-$solving process. Your solution should output the values of the array after each step of the expansion process. Please generate a test plan and do not forget the screen captures and UML class diagram$/$s$.$

image.png

Example Output:

After $($a$)$ new array of ten integers

arr $==>2,3,4,5,6,9,8,7,1,8$

After $($b$)$ step $1$ of expansion

arr $==>2,3,4,5,6,9,8,7,1,8$

original $==>2,3,4,5,6,9,8,7,1,8$

After $($c$)$ step $2$ of expansion

arr $==>0,0,0,0,0,0,0,0,0,0,0,0$

original $==>2,3,4,5,6,9,8,7,1,8$

After $($c$)$ step $3$ of expansion $($copy original integers$)$

arr $==>2,3,4,5,6,9,8,7,1,8,0,0$

original $==>2,3,4,5,6,9,8,7,1,8$

After $($d$)$

arr $==>2,3,4,5,6,9,8,7,1,8,0,0$

original $==>$ null

Question $4(25$ points$).$ Problem Solving Process Necessary. Please Include UML Class and Activity diagrams. Don$$t forget the screen captures.

Starting with the given GradeBook Class $($below$)$; add the methods: outputGrades, outputBarChart, getAverage, getMaximum, and getMinimum $($Note: Students can use the methods provided with the additional code file$).$ To test your Gradebook Class, use the GradeBookTest Class also provided. Please provide a screen capture of the output of your solution.

SAMPLE OUTPUT

Welcome to the grade book for

CSCI$\_1471$ Computer Science II$!$

The grades are:

Test $1$ Test $2$ Test $3$ Average

Student $187967084\mathrm{.}33$

Student $268879081\mathrm{.}67$

Student $3941009094\mathrm{.}67$

Student $4100818287\mathrm{.}67$

Student $583658577\mathrm{.}67$

Student $678876576\mathrm{.}67$

Student $785758381\mathrm{.}00$

Student $8919410095\mathrm{.}00$

Student $976728477\mathrm{.}33$

Student $1087937384\mathrm{.}33$

Lowest grade in the grade book is $65$

Highest grade in the grade book is $100$

Overall grade distribution:

$00-09$:

$10-19$:

$20-29$:

$30-39$:

$40-49$:

$50-59$:

$60-69$: $***$

$70-79$: $******$

$80-89$: $***********$

$90-99$: $*******$

$100$: $***$