The Suez Canal is a vertical straight thoroughfare broken up into three segments:

	Begins at, degrees latitude	Ends at, degrees latitude
The Red Sea stretch	29.90	30.17
The Great Bitter Lake stretch	30.17	30.80
The Mediterranean stretch	30.80	31.26

The Great Bitter Lake stretch is two-way but the other two stretches are one-way. So, if you make it intoa one-way stretch, you'll cruise through the canal safely. But if you're caught in the middle stretch when the authorities reverse the traffic in the one-way stretches, you'll be stranded in the middle of the canal waiting till the traffic is your way again. Ships are distributed uniformly through the canal.

1. Find the probability density of the canal, report its units.

(b) Draw the graphs of the PDF, CDF, and quantile functions for this case. Label the graphs, the axes, and the values you find relevant

(c) What is the probability of being trapped in the middle segment? Find the CDF of the gate between The Red Sea and The Great Bitter Lake. Then find the CDF of the gate between the Great Bitter Lake and the Mediterranean. Then use those values to find your probability.