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: P(X=0)=0.12, P(X=1)=0.26, P(X=2)=0.31, P(X=3)=0.22, and the rest is P(X=4). Assuming normal distribution, what is the probability that in a period of 100 days, the average number of red lights encountered is more than 2 per day? Express your answer in decimals."