A commuter encounters four traffic lights each day on her way to work. Let X represent the number of these that are red lights. The probability mass function of X is as follows. x 0 1 2 3 4 P(X = x) 0.1 0.2 0.4 0.2 0.1 What is the probability that in a period of 100 days, the average number of red lights encountered is more than 2 per day?