Question 1 You have been asked to consider a random variable X that has 4 possible outcomes. Those outcomes are X ={1,2,3,4}. Modify H3_Q1.java to accomplish the following tasks. a.

package studentWork; import java.util.Scanner; public class H3_Q1 { public static void main(String[] args) { Scanner scnr = new Scanner(System.in); //variables storing 4 outcomes entered by user  double outcome1; double outcome2; double outcome3; double outcome4;

Addcodethatpromptstheuserfortheprobabilityassociatedwitheachofthe4outcomes(e.g. P(X = x)) and reads the values into the variables provided. b. Determine whether each individual probability given by the user in (a) is valid. For each invalid P(x), print P(x) must be between 0 and 1 on a newline. c. Determine if the 4 values entered collectively satisfy the requirements of a probability distribution. If they do not, print The sum of the individual outcome probabilities must sum to 1 on a newline.