Show all of your work. Use extra paper and attach to this worksheet if necessary. 1. The probability a person in their 205 (from 20-29) changed their job in the last year is 0.40. Given you are in a room with 5 people in their 205, answer the following questions (20 pts total): a. What is the probability that none of them changed jobs in the last year? (5 points) b. What is the probability that three or more of them changed jobs in the last year? (10 points) c. Diagram the probability density function and cumulative density function of this binomial distribution. Be sure to label the height of each bar. (0 points, 2 points bonus) d. What is the theoretical mean and theoretical variance of this binomial distribution? (5 points)