A commuter must pass through five traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below. Make your calculations in the calculator for parts b and c below. (2 points each part) = # of red lights 0 1 2 3 4 5 (=) 0.05 0.25 0.35 0.15 0.15 0.05 a. Give two reasons why the table is a valid probability table. b. How many red lights should she expect to hit each day? c. What's the standard deviation? Round your answer to two decimal places.