a) A rooted tree is a tree in which one vertex has been designated as the root and every edge is directed away from the root. State ONE application of rooted tree in real life situation. Use this terminology to relate and to explain your application. Root, Node, Parent Node, Child Node, Siblings, Leaf, Height, Depth, Descendants, and Ancestors b) The Hotel A records indicated that tourists stayed in the hotel for number of days shown in the distribution. Number of days stayed 3 4 5 6 7 Find those probabilities. I.A tourist stayed exactly 5 days. ii. A tourist stayed less than 6 days. Iii A tourist stayed at most 4 days. iv. A tourist stayed at least 5 days. Frequency 15 32 56 19 5