Suppose Martin is a very talented used-car salesman. Whenever Martin talks to a new customer, there is a 50 % chance that he convinces the customer to purchase one of his used cars. Brian, Martin's boss, is envious that Martin sells many more cars than he does. Because of his jealousy, Brian institutes a new rule that Martin is only allowed to talk to 55 customers per day. Thus, Martin continues to work each day until he speaks to 55 customers, at which point Brian sends him home. Let X represent the number of used cars that Martin sells on a given day. What are the mean, μ , and variance, σ 2 , of X ? Please round your answers to the nearest two decimal places.