A large company tracks the transportation habits of its 300 employees. Their daily commuting distance and usual method are summarized in the table.   Under 2 miles 2–4 miles 5–6 miles Over 6 miles Car 15 25 30 40 Public Transit 20 20 35 15 Bike 30 15 10 5 Walk 25 10 5 0 Part A: Calculate the empirical conditional probability of an employee who takes public transit to work, given that they live over 6 miles away. Show all work.Part B: Is an employee more or less likely to take public transit if they live over 6 miles away? Justify the answer mathematically.