But now where is this $0.0281$ from? It looks to be the probability that X > 3.77. If I'm not wrong, in this case X ~ F_{3,19} = 3.1274$X ~ F_{3,19} = 3.1274$ (as calculated before) and so the p value should be the probability that 3.1274 is greater than 3.77. Now how can 3.1274 ever be greater than 3.77?