We are given that the amount of time for a given color is:
A. Day
Green = 2 min
Red = 3 min
Yellow = 20 sec = 0.333 min
Total day cycle time= 5.33 min
B. Night
Green = 3 min
Red = 4 min
Yellow = 30 sec = 0.5 min
Total night cycle time= 7.5 min
We calculate for the probabilities of waiting at red for day and night:
Pday= 3 min/5.33 min= 0.5625
Pnight= 4 min/7.5 min= 0.5333
Pdifference= 0.02917 = 2.92%
Therefore it is more likely to wait at red during day time by 2.92%.