The 500 employees of the Alfa y Omega company were consulted to find out their intentions to retire after reaching the age of 62 for men and 57 for women. It should be noted that the employees were divided into the Administrative and Operations areas. The results were the following: Area Retirement Plans Retirement non- Total retirement Administrative 25 75 100 Operations 150 250 400 500 Draw a tree diagram and determine the simple, conditional, and joint probabilities. What is the probability that an employee belongs to the administrative area? What is the probability that an employee will retire given that he is from the administrative area