Suppose you are given a dataset on new employee aptitudes (the higher the score, the greater the aptitude). The dataset includes test scores for employees who have stayed at the company longer than five years. You need to score new hires to predict whether they will stay longer than five years. You find that the dataset follows a normal distribution with a mean of 50 and a standard deviation of 7. 1. You have an applicant with a score of 41. Is this applicant significantly different than the average employee which stayed at least five years? 2. Suppose you have three applicants on a single day. What is the probability that all three applicants score between 45 and 55? 3. Your company needs better applicants. It decides to implement an internship pro- gram in the hopes of hiring applicants who have undertaken an internship at the company. If these interns do indeed apply for jobs at the company, what should happen to the distribution of aptitude test scores?