Objective and Overview: The exercises in this document reviews basic programming concepts of Conditions, Loops, and Methods in Java. Students are required to individually implement the solutions to each exercise given below. The successful completion of these exercises enables the student to have the working knowledge of how Conditions, Loops, and Methods are used in Java. Exercise 1: Write the following methods in a Java project: a) A Java method to determine and return the result of factorial for a number received as a parameter. b) A Java method to determine and print the location(s) of the word in a file, where the filename and word are received as parameters. c) A Java method to determine and return the average of integers in an array. The method receives the array of integers as a parameter, and then it returns the average (mean). d) A Java method to determine and return the standard deviation of integers in an array. The method receives the array of integers as a parameter, and then it returns the standard deviation (hint: you may use the method created in step (c)). Li=1(c) - 3)2 = 1 N 1 S = sample standard deviation N = the number of observations Xi = the observed values of a sample item = the mean value of the observations e) Test the above methods from the main method