For this project you will write a Java program that will run a simple math quiz. Your program will generate two random integers between $1$ and $20$ and then ask a series of math questions. Each question will be evaluated as to whether it is the right or wrong answer. In the end a final score should be reported for the user. $($See below for how to generate random numbers$).$

Sample Ouptut This is a sample transcript of what your program should do$.$ Values in the transcript in BOLD show the user inputs. So in this transcript the user inputs $33,$ Jeremy, $24,-16,$ and $80$ the rest is output from the program.

Enter a random number seed: $33$

Enter your name: Jeremy

Hello Jeremy!

Please answer the following questions:

$4+20=24$

Correct!

$4-20=-16$

Correct!

$4*20=80$

Correct!

You got $3$ correct answers!

That's $100\mathrm{.}0\%!$

Your code will behave differently based on the random number seed you use and the answers provided by the user. Here is a second possible execution of this code. As before, values in BOLD are provided by the user $-$ in this case $54,$ Bob, $8,8,$ and $8-$ the rest is the output of the program when you run it$.$

Enter a random number seed: $54$

Enter your name: Bob

Hello Bob!

Please answer the following questions:

$20+12=8$

Wrong!

The correct answer is: $32$

$20-12=8$

Correct!

$20*12=8$

Wrong!

The correct answer is: $240$

You got $1$ correct answers!

That's $33\mathrm{.}33333333333333\%!$

Random numbers: Random numbers in a computer are rarely random. Instead computers use something known as a pseudorandom number generator. This is a process that gives the appearance of generating a random number sequence, but in fact is entirely predictable if you know the value used to seed $($i$.$e$.$ start$)$ the process. The upshot of this is that we can get predictable behavior out of a random number generator for testing by using a known seed that we use as input as here in this program. Then when we move it to actual use, we can use a different seed to give more random behavior $-$ typically by using the system clock or other input that will be different from one execution to the next as our seed value instead of prompting for it$.$

To code this, we don't want to write our own pseudorandom generator. Not only would that be a fairly complicated thing to do with the Java knowledge we have currently, there are already psuedorandom generators built into the Java library for our use. For this project you will need to use the generator implemented in the Java Random class. You will need to create a new Random object and then draw numbers from it using the nextInt method of the Random class.

The Random object's instance method nextInt will provide a random number between $0$ and an upper bound $($not including the upper bound$)$ for example, the code below will provide an integer value for the variable x between $0$ and $9$ and a value for y between $1$ and $10$:

int seed $=1024$; $//$ For your project, use a value entered by the user as your seed.

Random rnd $=$ new Random$($seed$)$;

int x $=$ rnd$.$nextInt$(10)$; $//$ x will be an integer between $0$ and $9$

int y $=$ rnd$.$nextInt$(10)+1$; $//$ y will be an integer between $1$ and $10$

How would you modify the code above so that Random uses the seed provided by the user and x will be assigned a value between $1$ and $20?$ That's what you'll need to do for this project.

Note that you only ever want to create a single Random object in your code, even if you are generating multiple random numbers! Just make multiple calls to nextInt to get different random numbers, as the code snippet above does.

Displaying percentages: To display the percentage of answers correct you need to convert your integer count of the number of correct answers to a double percentage value. The following piece of Java code will display the decimal value of the fraction $1/4.$ Think about how you would modify this code to get the percentage of correct answers as required by this assignment:

int numerator $=1$;

double denominator $=4\mathrm{.}0$;

double quotient $=$ numerator$/$denominator;

System.out.println$($quotient$)$; $//$ will display a value of $0\mathrm{.}25$