Three young trees are planted one by one randomly and independently along the same street of length 10m. (a) (4 points) Find the expected distance from the left end of the street to the tree which is closest to that end. (b) (4 points) Find the expected distance from the left end of the street to the first planted tree given that that tree is closer to the left end than to the right end. (c) (6 points) Find the distribution of the largest distance between the trees. (d) (2 points) Find the expected largest distance distance between the trees.

I want to know whether this is related to Beta Distriution and order statistics. I am really lost in this question. I hope someone can give me hand.