An order for an automobile can specify either an automatic or a standard transmission, either with or without air conditioning, and with any one of the four colors red, blue, black, or white. Describe the set of possible orders for this experiment.

Answer:Attached file describes the set of 16 possible orders for this experimentStep-by-step explanation:Please see attached file for tree diagramWe have to build a tree diagram to represent this solution.At level 1 we have 2 options: automatic transmission or standard transmissionAt level 2, each of the 2 level-1 options split into 2 new options: with air conditioning and without air conditioning. Therefore, at this level, we have 2 x 2 = 4 options.And, at level 3, each of the 4 level-2 options split into 4 new color options: red, blue, black or white. Therefore, at this final level, we have 4 x 4 = 16 possible ordersPlease see the attached tree diagram for a better description of this set of 16 possible orders