In the event of a natural disaster, ways of re-establishing…
In the event of a natural disaster, ways of re-establishing the connectivity of road networks need to be considered. Estimates of the probabilities of a randomly chosen road being under light debris, moderate debris, and heavy debris conditions after different disaster magnitudes are shown in the following table. Disaster magnitude is equally likely to be low, moderate or high. Disaster Magnitude Light Debris Moderate Debris Heavy Debris Total Low 80 15 5 100 Moderate 50 40 10 100 High 30 50 20 100 Total 160 105 35 300 Let A denote the event that the natural disaster magnitude is low and B denote the event that the road debris is heavy. Are these events independent? Show your work and provide clear justification to receive full credit. Please note, you should clearly show your work for this problem in your scratchwork to be submitted to the Canvas 1 Files assignment.