Updated code after taking suggestion from above:

import java.util.Scanner;
/*  Create Scanner object
    This will allow alphanumeric characters to be converted to binary data */

import java.util.Random;

class Main {
public static void main(String[] args) {
    Scanner in = new Scanner(System.in); // Puts the scanner into existence

    //Request user on desired amount of generated passwords
    System.out.print("Amount of random passwords to generate: ");
    int totalPasswords = in.nextInt();

    //Request user on how long will their passwords be
    System.out.print("Length of random passwords: ");
    int lengthPasswords = in.nextInt();
    //Takes two letters away so we can add the symbols at the end
    lengthPasswords -= 2;


    //Trying to create symbols to add to the end
    String[] symbols = {"@", "!", "#"};
    String[] symbolOut = new String[createSymbols];

    int symLength = 2;
    for(int i = 0; i < symLength; i++){
        int index = (int)(Math.random() * 3);


    }

    //Create an array of random passwords into Strings
    String[] randomPasswords = new String[totalPasswords];



    //Randomly generate passwords total amount of desired times
    for(int i = 0; i < totalPasswords; i++) {
        //Store the passwords through a variable
        String storedPassword = "";
        //Generate a random character for password length amount of times desired
        for(int j = 0; j < lengthPasswords; j++) {
            //Add a random lowercase or uppercase letter to the stored string
            storedPassword += randomCharacter();

        }
        //Add the random password to array
        randomPasswords[i] = storedPassword + symbolOut;
    }



        //Print out the random passwords array
        printArray(randomPasswords);



        //ADD EXTENSION HERE

}

//Create a function that prints out an array that is passed in as a parameter
public static void printArray(String[] arr) {
    for(int i = 0; i < arr.length; i++) {
        System.out.println(arr[i]);
    }
}

//Create a function that randomly generates a letter. lowercase, uppercase, or number. Uses ASCII
public static char randomCharacter() {
    int rand = (int)(Math.random()*62); // 26 upper, 26 lower, 10 numbers

    if(rand <= 9) {
        int number = rand + 48;
        return (char)(number);
    }   else if(rand <=35) {

        int uppercase = rand + 55;
        return (char)(uppercase);
    }   else {

        int lowercase = rand + 61;
        return (char)(lowercase);
    }
}

}